Motorized Round Bed

Theresa and I just got back from a meeting with the history professor at the usual spot, where the generous gentleman in question oversaw the procurement of the libations. Conversation ran from The Wire to Apocalypto to Jimmy Carter to Dean Martin, the latter of whom the prof had seen just yesterday in Athens, GA, on a TV screen at a diner, talking on the telephone and revolving on a motorized round bed. He thought I would know the name of the film, but I do not. My guess is that it's one of the Matt Helm pictures. I feel certain that Mr. McNeil will be able to tell us which one.