202012112112120 has 192 divisors, whose sum is σ = 697423696089120. Its totient is φ = 50535928553472.

The previous prime is 202012112112067. The next prime is 202012112112127. The reversal of 202012112112120 is 21211211210202.

202012112112120 is a `hidden beast` number, since 2 + 0 + 201 + 211 + 211 + 21 + 20 = 666.

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 = 202012112112093 and 202012112112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012112112127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51880957 + ... + 55638636.

Almost surely, 2^{202012112112120} is an apocalyptic number.

202012112112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012112112120 is an abundant number, since it is smaller than the sum of its proper divisors (495411583977000).

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

202012112112120 is a wasteful number, since it uses less digits than its factorization.

202012112112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107519934 (or 107519927 counting only the distinct ones).

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

Adding to 202012112112120 its reverse (21211211210202), we get a palindrome (223223323322322).

The spelling of 202012112112120 in words is "two hundred two trillion, twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".