312333020940 has 96 divisors (see below), whose sum is σ = 903056394240. Its totient is φ = 80574105600.

The previous prime is 312333020927. The next prime is 312333020941. The reversal of 312333020940 is 49020333213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312333020898 and 312333020907.

It is not an unprimeable number, because it can be changed into a prime (312333020941) 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, 5628651 + ... + 5683869.

It is an arithmetic number, because the mean of its divisors is an integer number (9406837440).

Almost surely, 2^312333020940 is an apocalyptic number.

312333020940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312333020940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451528197120).

312333020940 is an abundant number, since it is smaller than the sum of its proper divisors (590723373300).

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

312333020940 is a wasteful number, since it uses less digits than its factorization.

312333020940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58303 (or 58301 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 312333020940 in words is "three hundred twelve billion, three hundred thirty-three million, twenty thousand, nine hundred forty".