202111132000 has 192 divisors, whose sum is σ = 527818636800. Its totient is φ = 75842956800.

The previous prime is 202111131979. The next prime is 202111132031. The reversal of 202111132000 is 231111202.

202111132000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7815091 + ... + 7840909.

It is an arithmetic number, because the mean of its divisors is an integer number (2749055400).

Almost surely, 2^202111132000 is an apocalyptic number.

202111132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202111132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263909318400).

202111132000 is an abundant number, since it is smaller than the sum of its proper divisors (325707504800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202111132000 is a wasteful number, since it uses less digits than its factorization.

202111132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25966 (or 25948 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 202111132000 its reverse (231111202), we get a palindrome (202342243202).

The spelling of 202111132000 in words is "two hundred two billion, one hundred eleven million, one hundred thirty-two thousand".