122344431120 has 60 divisors (see below), whose sum is σ = 410873383596. Its totient is φ = 32625181440.

The previous prime is 122344431109. The next prime is 122344431137. The reversal of 122344431120 is 21134443221.

122344431120 is a `hidden beast` number, since 1 + 2 + 2 + 344 + 4 + 311 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64207505664 + 58136925456 = 253392^2 + 241116^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 84960691 + ... + 84962130.

Almost surely, 2^122344431120 is an apocalyptic number.

122344431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122344431120 is an abundant number, since it is smaller than the sum of its proper divisors (288528952476).

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

122344431120 is a wasteful number, since it uses less digits than its factorization.

122344431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169922840 (or 169922831 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122344431120 its reverse (21134443221), we get a palindrome (143478874341).

The spelling of 122344431120 in words is "one hundred twenty-two billion, three hundred forty-four million, four hundred thirty-one thousand, one hundred twenty".