122011220012112 has 30 divisors (see below), whose sum is σ = 341461956006522. Its totient is φ = 40670406670656.

The previous prime is 122011220012021. The next prime is 122011220012131. The reversal of 122011220012112 is 211210022110221.

122011220012112 is a `hidden beast` number, since 1 + 220 + 11 + 220 + 0 + 1 + 211 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90915919880256 + 31095300131856 = 9534984^2 + 5576316^2 .

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 423650069343 + ... + 423650069630.

Almost surely, 2^{122011220012112} is an apocalyptic number.

122011220012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011220012112 is an abundant number, since it is smaller than the sum of its proper divisors (219450735994410).

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

122011220012112 is a wasteful number, since it uses less digits than its factorization.

122011220012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847300138987 (or 847300138978 counting only the distinct ones).

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

Adding to 122011220012112 its reverse (211210022110221), we get a palindrome (333221242122333).

The spelling of 122011220012112 in words is "one hundred twenty-two trillion, eleven billion, two hundred twenty million, twelve thousand, one hundred twelve".