122112002022112 has 96 divisors (see below), whose sum is σ = 259908188551200. Its totient is φ = 56277560567808.

The previous prime is 122112002022079. The next prime is 122112002022119. The reversal of 122112002022112 is 211220200211221.

It is a super-2 number, since 2×122112002022112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 122112002022112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112002022119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104700798 + ... + 1104811330.

It is an arithmetic number, because the mean of its divisors is an integer number (2707376964075).

Almost surely, 2^{122112002022112} is an apocalyptic number.

It is an amenable number.

122112002022112 is an abundant number, since it is smaller than the sum of its proper divisors (137796186529088).

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

122112002022112 is a wasteful number, since it uses less digits than its factorization.

122112002022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159708 (or 159700 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122112002022112 its reverse (211220200211221), we get a palindrome (333332202233333).

The spelling of 122112002022112 in words is "one hundred twenty-two trillion, one hundred twelve billion, two million, twenty-two thousand, one hundred twelve".