122011202102112 has 36 divisors (see below), whose sum is σ = 346969355978700. Its totient is φ = 40670400700608.

The previous prime is 122011202102033. The next prime is 122011202102171. The reversal of 122011202102112 is 211201202110221.

122011202102112 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 20 + 210 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 211825003362 + ... + 211825003937.

It is an arithmetic number, because the mean of its divisors is an integer number (9638037666075).

Almost surely, 2^{122011202102112} is an apocalyptic number.

122011202102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011202102112 is an abundant number, since it is smaller than the sum of its proper divisors (224958153876588).

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

122011202102112 is a wasteful number, since it uses less digits than its factorization.

122011202102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423650007315 (or 423650007304 counting only the distinct ones).

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

Adding to 122011202102112 its reverse (211201202110221), we get a palindrome (333212404212333).

The spelling of 122011202102112 in words is "one hundred twenty-two trillion, eleven billion, two hundred two million, one hundred two thousand, one hundred twelve".