122011212110112 has 192 divisors, whose sum is σ = 383251769147520. Its totient is φ = 37540792396800.

The previous prime is 122011212110101. The next prime is 122011212110131. The reversal of 122011212110112 is 211011212110221.

It is a happy number.

122011212110112 is a `hidden beast` number, since 1 + 220 + 1 + 121 + 211 + 0 + 112 = 666.

It is a super-2 number, since 2×122011212110112² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 426796662 + ... + 427082442.

It is an arithmetic number, because the mean of its divisors is an integer number (1996102964310).

Almost surely, 2^{122011212110112} is an apocalyptic number.

122011212110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011212110112 is an abundant number, since it is smaller than the sum of its proper divisors (261240557037408).

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

122011212110112 is a wasteful number, since it uses less digits than its factorization.

122011212110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323824 (or 323810 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122011212110112 its reverse (211011212110221), we get a palindrome (333022424220333).

The spelling of 122011212110112 in words is "one hundred twenty-two trillion, eleven billion, two hundred twelve million, one hundred ten thousand, one hundred twelve".