Bruno Mars follows with seven nominations, then Lady Gaga, Jay-Z and Lady Antebellum on six each.
Eminem and Gaga are the obvious frontrunners for album of the year, but they face stiff competition from Katy Perry, Lady Antebellum and Arcade Fire.
Perry was shut out of the song and record of the year categories.
Justin Bieber is up for best new artist, along with Drake, Florence and the Machine, Mumford & Sons and Esperanza Spalding.
The 53rd Annual Grammy Awards wil be held on February 13.