Robert Pattinson is beyond hot, AND he's got a killer personality!

The 26-year-old Twilight hunk stopped by Jimmy Kimmel Live to promote his latest film Cosmopolis ... and to discuss his homeless situation.

Pattinson, who had shared a home in Los Feliz with former love Kristen Stewart, jokes with Kimmel, "No, I rented this archway and I just live behind it. In one of those trash cans."

RPatz also reveals that he accidentally stumbled upon a "dogging" situation in LA while out on a bike ride. "Dogging" is where men sit in parked cars looking for sex. Pattinson adds:

    "I used to turn up at this parking lot lookin' at everyone like, 'Why are all these guys sittin' around in their cars all the time?' And I'm goin' there everyday kinda thinkin' nothing of it, coming out in my little Lycra pants, and one day there was a big raid."

Yikes! Click thru to see RPatz talking to Jimmy about using Craigslist.