122112112010112 has 96 divisors (see below), whose sum is σ = 401588939821680. Its totient is φ = 34889174857728.

The previous prime is 122112112010017. The next prime is 122112112010117. The reversal of 122112112010112 is 211010211211221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×122112112010112² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112112010117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7571427453 + ... + 7571443580.

Almost surely, 2^{122112112010112} is an apocalyptic number.

122112112010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112112010112 is an abundant number, since it is smaller than the sum of its proper divisors (279476827811568).

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

122112112010112 is a wasteful number, since it uses less digits than its factorization.

122112112010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15142871060 (or 15142871045 counting only the distinct ones).

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

Adding to 122112112010112 its reverse (211010211211221), we get a palindrome (333122323221333).

The spelling of 122112112010112 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twelve million, ten thousand, one hundred twelve".