202112112120120 has 192 divisors, whose sum is σ = 684686375586720. Its totient is φ = 51657214067712.

The previous prime is 202112112120119. The next prime is 202112112120179. The reversal of 202112112120120 is 21021211211202.

202112112120120 is a `hidden beast` number, since 2 + 0 + 211 + 211 + 2 + 120 + 120 = 666.

202112112120120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202112112120093 and 202112112120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112343247 + ... + 114128126.

Almost surely, 2^{202112112120120} is an apocalyptic number.

202112112120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112112120120 is an abundant number, since it is smaller than the sum of its proper divisors (482574263466600).

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

202112112120120 is a wasteful number, since it uses less digits than its factorization.

202112112120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226471494 (or 226471487 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202112112120120 its reverse (21021211211202), we get a palindrome (223133323331322).

The spelling of 202112112120120 in words is "two hundred two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".