312010322120 has 128 divisors (see below), whose sum is σ = 850278124800. Its totient is φ = 100590944256.

The previous prime is 312010322111. The next prime is 312010322153. The reversal of 312010322120 is 21223010213.

It is a super-2 number, since 2×312010322120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5316296 + ... + 5374664.

It is an arithmetic number, because the mean of its divisors is an integer number (6642797850).

Almost surely, 2^312010322120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312010322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425139062400).

312010322120 is an abundant number, since it is smaller than the sum of its proper divisors (538267802680).

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

312010322120 is a wasteful number, since it uses less digits than its factorization.

312010322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59527 (or 59523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 312010322120 its reverse (21223010213), we get a palindrome (333233332333).

The spelling of 312010322120 in words is "three hundred twelve billion, ten million, three hundred twenty-two thousand, one hundred twenty".