312311220320 has 96 divisors (see below), whose sum is σ = 806257670400. Its totient is φ = 113377738240.

The previous prime is 312311220271. The next prime is 312311220323. The reversal of 312311220320 is 23022113213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 312311220292 and 312311220301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312311220323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906119 + ... + 1202361.

It is an arithmetic number, because the mean of its divisors is an integer number (8398517400).

Almost surely, 2^312311220320 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 312311220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403128835200).

312311220320 is an abundant number, since it is smaller than the sum of its proper divisors (493946450080).

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

312311220320 is a wasteful number, since it uses less digits than its factorization.

312311220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296868 (or 296860 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312311220320 its reverse (23022113213), we get a palindrome (335333333533).

The spelling of 312311220320 in words is "three hundred twelve billion, three hundred eleven million, two hundred twenty thousand, three hundred twenty".