202112013000000 has 784 divisors, whose sum is σ = 679628466894272. Its totient is φ = 53001216000000.

The previous prime is 202112012999989. The next prime is 202112013000041. The reversal of 202112013000000 is 310211202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 202112013000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47432997870 + ... + 47433002130.

It is an arithmetic number, because the mean of its divisors is an integer number (866873044508).

Almost surely, 2^{202112013000000} is an apocalyptic number.

202112013000000 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 202112013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339814233447136).

202112013000000 is an abundant number, since it is smaller than the sum of its proper divisors (477516453894272).

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

202112013000000 is an frugal number, since it uses more digits than its factorization.

202112013000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 202112013000000 its reverse (310211202), we get a palindrome (202112323211202).

The spelling of 202112013000000 in words is "two hundred two trillion, one hundred twelve billion, thirteen million", and thus it is an aban number.