122564135412 has 36 divisors (see below), whose sum is σ = 309829963716. Its totient is φ = 40852725120.

The previous prime is 122564135401. The next prime is 122564135453. The reversal of 122564135412 is 214531465221.

122564135412 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 641 + 3 + 5 + 4 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121999312656 + 564822756 = 349284^2 + 23766^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795448 + ... + 936944.

It is an arithmetic number, because the mean of its divisors is an integer number (8606387881).

Almost surely, 2^122564135412 is an apocalyptic number.

122564135412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122564135412 is an abundant number, since it is smaller than the sum of its proper divisors (187265828304).

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

122564135412 is a wasteful number, since it uses less digits than its factorization.

122564135412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165568 (or 165563 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 122564135412 in words is "one hundred twenty-two billion, five hundred sixty-four million, one hundred thirty-five thousand, four hundred twelve".