122131414031 has 32 divisors (see below), whose sum is σ = 136905500160. Its totient is φ = 108015846400.

The previous prime is 122131414003. The next prime is 122131414121. The reversal of 122131414031 is 130414131221.

It is not a de Polignac number, because 122131414031 - 2⁶ = 122131413967 is a prime.

It is a super-2 number, since 2×122131414031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122131413988 and 122131414006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131414931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41217356 + ... + 41220318.

It is an arithmetic number, because the mean of its divisors is an integer number (4278296880).

Almost surely, 2^122131414031 is an apocalyptic number.

122131414031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122131414031 is a deficient number, since it is larger than the sum of its proper divisors (14774086129).

122131414031 is a wasteful number, since it uses less digits than its factorization.

122131414031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 122131414031 its reverse (130414131221), we get a palindrome (252545545252).

The spelling of 122131414031 in words is "one hundred twenty-two billion, one hundred thirty-one million, four hundred fourteen thousand, thirty-one".