122011021022112 has 72 divisors (see below), whose sum is σ = 346987274044320. Its totient is φ = 40668179694720.

The previous prime is 122011021022081. The next prime is 122011021022129. The reversal of 122011021022112 is 211220120110221.

122011021022112 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 0 + 210 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5818314 + ... + 16669577.

It is an arithmetic number, because the mean of its divisors is an integer number (4819267695060).

Almost surely, 2^{122011021022112} is an apocalyptic number.

122011021022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011021022112 is an abundant number, since it is smaller than the sum of its proper divisors (224976253022208).

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

122011021022112 is a wasteful number, since it uses less digits than its factorization.

122011021022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22506746 (or 22506735 counting only the distinct ones).

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

Adding to 122011021022112 its reverse (211220120110221), we get a palindrome (333231141132333).

The spelling of 122011021022112 in words is "one hundred twenty-two trillion, eleven billion, twenty-one million, twenty-two thousand, one hundred twelve".