Depending on your exact weight and compatibility with your bike frame, you may want to look into getting wider tires (700Cx25 will usually fit most road frames). These hold more air volume and will help reduce snakebite/pinch flats compared to a 700x23 at the same pressure.
By the way, when pumping up tires above 120psi, make sure both the tire *and* the rim are rated for high pressures.