Sorry to say but this rank isn't enough to get you admission into NITs or IIITs as for them the cutoff for general category student is below 20k. However, if you have state quota in any NITs then you might get admission into NITs but you'll not be able to get core branches as their cutoffs are high.

You can get admission in other private colleges that accepts jee main score to know about them you can go through the link of jee main college predictor given below.

https://engineering.careers360.com/jee-main-college-predictor

Thank you.