122122312232031 has 24 divisors (see below), whose sum is σ = 176930302951584. Its totient is φ = 81169631585280.

The previous prime is 122122312232017. The next prime is 122122312232047. The reversal of 122122312232031 is 130232213221221.

122122312232031 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 231 + 223 + 203 + 1 = 666.

It is not a de Polignac number, because 122122312232031 - 2¹⁵ = 122122312199263 is a prime.

It is a super-2 number, since 2×122122312232031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122122312231986 and 122122312232004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122312230031) 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 23 ways as a sum of consecutive naturals, for example, 67289350 + ... + 69080396.

It is an arithmetic number, because the mean of its divisors is an integer number (7372095956316).

Almost surely, 2^{122122312232031} is an apocalyptic number.

122122312232031 is a deficient number, since it is larger than the sum of its proper divisors (54807990719553).

122122312232031 is a wasteful number, since it uses less digits than its factorization.

122122312232031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813871 (or 1813868 counting only the distinct ones).

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

Adding to 122122312232031 its reverse (130232213221221), we get a palindrome (252354525453252).

The spelling of 122122312232031 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred twelve million, two hundred thirty-two thousand, thirty-one".