Heidi & SpencerReports Heidi Montag is moving out are as fake as her body ... at least according to Heidi.

Though OK! says Heidi has left the pad she shares with hubby Spencer Pratt, she tells PEOPLE it's not true, adding "I love Spencer with all my heart."

Montag 3.0 also says "We've worked through things and will continue to work on our relationship so we're the best couple we can be."

FYI -- The trailer for the final season of "The Hills" premiered today, check it out over at RyanSeacrest.com.