Hey aspirant!

To be honest, it is difficult to predict the exact ranks currently as the April session has yet to take place. However, you can predict your expected rank by this formula:-

(100 - your total score) X 869010 /100. If the number of candidates for April exam increased to 1200000 then your final rank shall be (100 - your total score) X 1200000/100

In your case the rank comes out to be around 400409. Honestly, at that rank you would probably not get any government institute and most of the good private institutions, however you can still try for some private institutions accepting jee scores

For that, you can use this college predictor to know what colleges you would get based on these January scores.

https://engineering.careers360.com/jee-main-college-predictor?ici=cp-listing_engineering&icn=JEE-Main-College-Predictor

Good luck.