122135031 has 24 divisors (see below), whose sum is σ = 179112960. Its totient is φ = 80189136.

The previous prime is 122135003. The next prime is 122135051. The reversal of 122135031 is 130531221.

It is not a de Polignac number, because 122135031 - 2¹⁰ = 122134007 is a prime.

It is a super-2 number, since 2×122135031² = 29833931594741922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122134995 and 122135013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122135051) 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 23 ways as a sum of consecutive naturals, for example, 332610 + ... + 332976.

It is an arithmetic number, because the mean of its divisors is an integer number (7463040).

Almost surely, 2^122135031 is an apocalyptic number.

122135031 is a deficient number, since it is larger than the sum of its proper divisors (56977929).

122135031 is a wasteful number, since it uses less digits than its factorization.

122135031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 122135031 is about 11051.4718929200. The cubic root of 122135031 is about 496.1504797819.

Adding to 122135031 its reverse (130531221), we get a palindrome (252666252).

The spelling of 122135031 in words is "one hundred twenty-two million, one hundred thirty-five thousand, thirty-one".