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from www.TMZ.com – Farrah Abraham is finally copping to shooting a full-on porn — with A-list porn star James Deen — but says even though it was intended for her personal scrapbook … she’s willing to sell it for $2 million.

The ex-“Teen Mom” star’s reason for shooting the XXX video is simply the best … telling TMZ she wanted to immortalize her smokin’ hot 21-year-old body — for her personal collection — so she could look back on it when she’s old.

Guess Olan Mills was booked?

Farrah, who initially denied a sex tape existed, says she’s pissed at her penis-for-hire — because Deen let the cat out of the bag … telling our camera guy the whole staged shoot was Farrah’s idea.

Farrah says she wants nothing to do with Deen now (we suspect that’s mutual) and took a parting shot, telling us — “If my ex-boyfriend Derek were alive, I would’ve rather it had been him with me.”

Farrah’s baby daddy Derek Underwood died in a car accident in 2008.

As for the sex vid going public … Farrah says her lawyer is dealing with a porn company, and she “will not be settling for anything less than a couple million” bucks.

Everyone has a price.