Conrad Hilton Crash -- He's Doing 200 MPH On the Shoulder

Conrad Hilton was driving so out of control moments before he crashed his car near Palm Springs ... at least one alarmed driver was convinced he was going "about 200 miles an hour" ... according to 911 tapes obtained by TMZ.

As we reported ... Paris' youngest brother crashed after clipping the rear of 2 other vehicles, and had to be cut from the wreckage with the jaws of life. Somehow he walked away without major injury.

So many people called 911 after seeing Hilton fly by on the freeway -- sometimes on the shoulder -- the police dispatcher seemed to get annoyed at repeat callers ... and even challenges the 200 MPH report.