122112111112002 has 128 divisors (see below), whose sum is σ = 311257555027200. Its totient is φ = 35141981414400.

The previous prime is 122112111112001. The next prime is 122112111112007. The reversal of 122112111112002 is 200211111211221.

It is a happy number.

It is a super-2 number, since 2×122112111112002² (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 not an unprimeable number, because it can be changed into a prime (122112111112001) 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 63 ways as a sum of consecutive naturals, for example, 57054343 + ... + 59155914.

It is an arithmetic number, because the mean of its divisors is an integer number (2431699648650).

Almost surely, 2^{122112111112002} is an apocalyptic number.

122112111112002 is an abundant number, since it is smaller than the sum of its proper divisors (189145443915198).

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

122112111112002 is a wasteful number, since it uses less digits than its factorization.

122112111112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116210369 (or 116210363 counting only the distinct ones).

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

Adding to 122112111112002 its reverse (200211111211221), we get a palindrome (322323222323223).

The spelling of 122112111112002 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, two".