* Sees 2020 adjusted core earnings around 1.125 bln euros

* Q3 shipments down 6.5%, but up 15.4%% for 12-cylinders

* Milan-listed shares up 6.8%

MILAN, Nov 3 (Reuters) - Luxury automaker Ferrari expects 2020 earnings at the top of its previous guidance range after beating forecasts in the third quarter and as key new models such as the 430,000 euro ($505,000) hybrid SF90 Stradale start to reach customers.

The company, known for its prancing horse logo, said on Tuesday it expected adjusted core earnings of around 1.125 billion euros this year, compared with 1.075-1.125 billion euros previously - assuming trading conditions are not further dented by the COVID-19 pandemic.

Chief Executive Louis Camilleri said the new guidance implied a "very strong" fourth quarter, with record quarterly volumes, revenues and earnings before interest, tax, depreciation and amortization (EBITDA).

"Solid proof that we are now running on all cylinders," he told analysts. "We'll enter 2021 with a very strong order book, we should have a pretty strong year".

Ferrari said shipments were recovering in line with a production plan set after a seven-week freeze of its operations during the first wave of COVID-19 earlier this year.

They were down 6.5% year on year in the third quarter as certain models approached the end of their lifecycle, while the F8 Spider and the 812 GTS were in ramp-up phase.

However, deliveries of powerful and highly profitable 12-cylinder cars, including the Monza, rose 15.4% in July-September.

"Deliveries of the SF90 Stradale and the Ferrari Roma are on track to start in Q4 2020," Ferrari said in a statement, referring to models unveiled last year and now coming on stream.

The company's Milan-listed were up 6.8% at 1625 GMT.

"This result - a beat on Q3 and raise of the full year guide - provides strong momentum through the end of the year and to enter 2021," Morgan Stanley analysts said in a report.

Despite the coronavirus crisis, Ferrari is on track with a rapid roll-out of new sports cars aimed at sustaining growth in core earnings and its share price.

A further new model will be released by the end of the year after the company in September launched the Portofino M, a modified version of its top-selling gran tourer.

In the third quarter, adjusted EBITDA rose 6.4% to 330 million euros, above an average forecast of 299 million euros from analysts polled by Reuters.

($1 = 0.8543 euros) (Editing by Mark Potter)