312122414031 has 32 divisors (see below), whose sum is σ = 427729026048. Its totient is φ = 202388630400.

The previous prime is 312122414029. The next prime is 312122414047. The reversal of 312122414031 is 130414221213.

It is not a de Polignac number, because 312122414031 - 2¹ = 312122414029 is a prime.

It is a super-2 number, since 2×312122414031² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312122413992 and 312122414010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312122414081) 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, 7429521 + ... + 7471413.

It is an arithmetic number, because the mean of its divisors is an integer number (13366532064).

Almost surely, 2^312122414031 is an apocalyptic number.

312122414031 is a deficient number, since it is larger than the sum of its proper divisors (115606612017).

312122414031 is a wasteful number, since it uses less digits than its factorization.

312122414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42431.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312122414031 its reverse (130414221213), we get a palindrome (442536635244).

The spelling of 312122414031 in words is "three hundred twelve billion, one hundred twenty-two million, four hundred fourteen thousand, thirty-one".