Sarah your sentence is correct. If you wanted to use "advantages of" you would say - The advantages of studying abroad are numerous"

I cleaned my answer to prevent others see a mistake. Thanks to Sara

Mike gave you an example of using "advantages to" and I tell you that when you would like to mention the advantages or some of them, then you can use "advantages of". So "advantages to" the people who study abroad, and "advantages of" studying abroad are........., but if you want to keep your sentence you can say, "there are numerous advantages for studying abroad".

advantage of. "Studying abroad provides many advantages to a student." would be an example of using "advantages to"