122624631 has 16 divisors (see below), whose sum is σ = 181841920. Its totient is φ = 81670680.

The previous prime is 122624627. The next prime is 122624633. The reversal of 122624631 is 136426221.

122624631 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 24 + 631 = 666.

It is not a de Polignac number, because 122624631 - 2² = 122624627 is a prime.

It is a super-2 number, since 2×122624631² = 30073600255772322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122624595 and 122624604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122624633) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43536 + ... + 46266.

It is an arithmetic number, because the mean of its divisors is an integer number (11365120).

Almost surely, 2^122624631 is an apocalyptic number.

122624631 is a deficient number, since it is larger than the sum of its proper divisors (59217289).

122624631 is a wasteful number, since it uses less digits than its factorization.

122624631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4397 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 122624631 is about 11073.6006339402. The cubic root of 122624631 is about 496.8125650280.

The spelling of 122624631 in words is "one hundred twenty-two million, six hundred twenty-four thousand, six hundred thirty-one".