122211122112 has 112 divisors (see below), whose sum is σ = 380412162720. Its totient is φ = 38340734976.

The previous prime is 122211122087. The next prime is 122211122113. The reversal of 122211122112 is 211221112221.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2050743 + ... + 2109494.

Almost surely, 2^122211122112 is an apocalyptic number.

122211122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122211122112 is an abundant number, since it is smaller than the sum of its proper divisors (258201040608).

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

122211122112 is a wasteful number, since it uses less digits than its factorization.

122211122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160275 (or 4160259 counting only the distinct ones).

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

Adding to 122211122112 its reverse (211221112221), we get a palindrome (333432234333).

The spelling of 122211122112 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twelve".