122313110112 has 72 divisors (see below), whose sum is σ = 351736159320. Its totient is φ = 40312926720.

The previous prime is 122313110077. The next prime is 122313110141. The reversal of 122313110112 is 211011313221.

122313110112 is a `hidden beast` number, since 12 + 231 + 311 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2360314 + ... + 2411577.

It is an arithmetic number, because the mean of its divisors is an integer number (4885224435).

Almost surely, 2^122313110112 is an apocalyptic number.

122313110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122313110112 is an abundant number, since it is smaller than the sum of its proper divisors (229423049208).

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

122313110112 is a wasteful number, since it uses less digits than its factorization.

122313110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771996 (or 4771985 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122313110112 its reverse (211011313221), we get a palindrome (333324423333).

The spelling of 122313110112 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred ten thousand, one hundred twelve".