We should be careful when discussing these things to not confuse TUBE blowouts/flats with TIRE cuts and failures, etc.

Also, when comparing experiences, do state your tire size and width. Narrow tires (700x23 for example) tend to get flats and cuts more easily than wider (700x28 for example) tires, especially on sharp gravel. Also, a rider 50 pounds heavier might get more flats, blowouts, or cuts than a lighter rider, especially on skinny tires, since they are adding substantial additional pressure downwards on the tire while riding. Thin racing tires tend to be problematic on rough gravel roads, and most go-fast road riders I know avoid gravel roads because they get tired of having flats all the time. Kevlar lined tires do help prevent tire cuts and punctures.

And SadieKate is right- when the sidewall says "max. psi 120" that means if you inflate higher than that you risk a blowout....it does NOT mean that 120 is the recommended pressure! One will get more tire/tube failures with EITHER too high a pressure or too low a pressure.
My 700x28 Pasela Panaracer Kevlar-lined tires say max. 120 psi, but I put them at between 90-100. I ride on incredibly sharp rocky gravel roads (even over cow fields on occasion!), and in 4,000 miles I've only had one flat- due to a triangular piece of glass that got imbedded in my tire.

All that said....my DH had 3 blowout tube flats in a row 2 months ago...we ran out of tubes and patch kits finally and I had to ride home to get the car and rescue him. At first we thought it must be faulty tubes- but no, between his tubes and mine they were actually 3 different brands of tube, and all new! He finally figured out he was somehow getting the tube pinched in the rim near the valve each time he put a new tube in- some subtle little thing about his technique, he said. It's not happening anymore, so he must have improved his flat changing technique.