31220407270920 has 128 divisors (see below), whose sum is σ = 107311023187200. Its totient is φ = 7118117968896.

The previous prime is 31220407270901. The next prime is 31220407270939. The reversal of 31220407270920 is 2907270402213.

It is an interprime number because it is at equal distance from previous prime (31220407270901) and next prime (31220407270939).

It is a super-2 number, since 2×31220407270920² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46476535 + ... + 47143494.

It is an arithmetic number, because the mean of its divisors is an integer number (838367368650).

Almost surely, 2^{31220407270920} is an apocalyptic number.

31220407270920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31220407270920 is an abundant number, since it is smaller than the sum of its proper divisors (76090615916280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31220407270920 is a wasteful number, since it uses less digits than its factorization.

31220407270920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93620447 (or 93620443 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 31220407270920 in words is "thirty-one trillion, two hundred twenty billion, four hundred seven million, two hundred seventy thousand, nine hundred twenty".