I am 5"2' as well and my weight has been about 120 to 125 for a while. I think up to 130 is considered good, anything beyond might be considered over what your weight should be. If you are very concerned, then it is time to ask your doctor about your individual weight.
If your doctor has your chart of growth for a few years he can tell you if you're growing normally according to your own pace. Your doctor will let you know what is your best healthy weight. I can not tell you because I am not a doctor, and also I will be talking from my own perspective. What is good for me might not be for someone else.
Also, it somewhat depends on heredity and body composition, and to some degree bone density.