122312104214144 has 64 divisors (see below), whose sum is σ = 273821621351040. Its totient is φ = 53997316893696.

The previous prime is 122312104214119. The next prime is 122312104214149. The reversal of 122312104214144 is 441412401213221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 122312104214144.

It is not an unprimeable number, because it can be changed into a prime (122312104214149) 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 7 ways as a sum of consecutive naturals, for example, 1597893692 + ... + 1597970235.

It is an arithmetic number, because the mean of its divisors is an integer number (4278462833610).

Almost surely, 2^{122312104214144} is an apocalyptic number.

It is an amenable number.

122312104214144 is an abundant number, since it is smaller than the sum of its proper divisors (151509517136896).

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

122312104214144 is a wasteful number, since it uses less digits than its factorization.

122312104214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195863977 (or 3195863965 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 122312104214144 its reverse (441412401213221), we get a palindrome (563724505427365).

The spelling of 122312104214144 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred four million, two hundred fourteen thousand, one hundred forty-four".