The most Oscar nominations a film has received is 14 given to All About Eve (US 1950) in 1951 and Titanic (US 1997) in 1998.
All About Eve eventually won six Oscars, including Best Film, Best Director – Joseph L. Mankiewicz and Best Supporting Actor – George Sanders (1906-1972). Titanic came away with 11. (see also Most Oscars won by a film)