202112112400 has 120 divisors (see below), whose sum is σ = 557597570400. Its totient is φ = 69627110400.

The previous prime is 202112112359. The next prime is 202112112407. The reversal of 202112112400 is 4211211202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (202112112407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125205 + ... + 1292404.

It is an arithmetic number, because the mean of its divisors is an integer number (4646646420).

Almost surely, 2^202112112400 is an apocalyptic number.

202112112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112112400 is an abundant number, since it is smaller than the sum of its proper divisors (355485458000).

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

202112112400 is a wasteful number, since it uses less digits than its factorization.

202112112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417657 (or 2417646 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202112112400 its reverse (4211211202), we get a palindrome (206323323602).

The spelling of 202112112400 in words is "two hundred two billion, one hundred twelve million, one hundred twelve thousand, four hundred".