202112000000 has 196 divisors, whose sum is σ = 505562669340. Its totient is φ = 80793600000.

The previous prime is 202111999987. The next prime is 202112000023. The reversal of 202112000000 is 211202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 127999211 + ... + 128000789.

Almost surely, 2^202112000000 is an apocalyptic number.

202112000000 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 202112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252781334670).

202112000000 is an abundant number, since it is smaller than the sum of its proper divisors (303450669340).

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

202112000000 is an frugal number, since it uses more digits than its factorization.

202112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 202112000000 its reverse (211202), we get a palindrome (202112211202).

The spelling of 202112000000 in words is "two hundred two billion, one hundred twelve million", and thus it is an aban number.