You may or may not get NIT,IIIT but you can get Government funded Technical Institute for admission with that much mark. If you have any reservation category then that will make you eligible for top demanded branches like CSE,ECE.
Getting NIT and IIIT is highly competitive as a candidate having a rank below 50k are eligible to get an admission at NIT.
IIIT previous year cutoff:- https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits
If you are getting that much rank in JEE mains then only you can get an admission. For more information about the cutoff please visit the link:- https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches
Hope it helps!