Iggy Azalea to Porn Co. -- Use My Name and I'll Screw You!

Iggy Azalea's lawyers are throwing the kitchen sink at a major porn company ... now claiming Vivid will get its dirty corporate ass sued if it dares to market her alleged sex tape ... because the name "Iggy" can only be used by Iggy.

It seems a sex tape exists, even though her lawyers deny it. Initially they said it was a fabrication ... then said if it does exist she may have been a minor. The "sex partner" -- rapper Hefe Wine -- told TMZ Live Friday there is indeed a tape and she knew about it and consented. And he says she was NOT a minor ... he says he met her when she was 18.

Now Iggy's lawyers have fired off a letter to Vivid -- obtained By TMZ -- in which they say the name "Iggy" is gold ... protected by U.S. Trademark.

So maybe Vivid could market the tape this way -- STEAMY SEX TAPE, FEATURING SHMIGGY SHMEZELIA AND HEFE WINE!

Vivid is unimpressed, restating it's desire to market the tape.