IIIT

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Please, go to the link I am sharing here to know about the same. Good luck.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Please go through the link that I am sharing here to know about the same.
Good luck.

I would suggest you to go for IIITs because after IITs and NITs, IIITs come.

Maybe. Are you from SC/ST or another category?

You cannot get any NIT or IIIT but you have another options for good private engineering colleges where you can get admission easily. Otherwise, you should go through the state counselling procedure for the government college or the best private college. All the best.
Thank you.

Yes, you can get an NIT easily. There are so many colleges. You can see here, go through the link:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best. Thank you.

Friend,
Go to the link below to find the college on the basis of your rank:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Please go to the college predictor link I am sharing here to know about the same. Good luck.

There are other colleges, considering the cases like IIT ranks around 10000 and above you can attempt for two major Chemical and petroleum degrees from IIPE, (mentor by IIT KGP) Which is the 3rd year of the college. RGIPT, Raebareli, which provides degree in Petroleum but, there are likely to close around INR 15 k to INR 18k as well. There might be new addition, in some university seat or Scholarship based on JEE Advanced Rank. Read Advanced Brochure.
There are a few International colleges in Singapore that consider Advance Rank along with IISc Bangalore for it's Bachelor's Programs.

No, you cannot get admission in the NIT or IIIT, as your rank is very high. You can get good government and private engineering college like Nirma University, Chandigarh University, Galgotia University, Amity University, JECRC College JaipurArya College Jaipur, Poornima engineering college, Jaipur