312013022220 has 120 divisors (see below), whose sum is σ = 980842262400. Its totient is φ = 83029563648.

The previous prime is 312013022201. The next prime is 312013022249. The reversal of 312013022220 is 22220310213.

312013022220 is a `hidden beast` number, since 312 + 0 + 130 + 2 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312013022193 and 312013022202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 574936 + ... + 977024.

It is an arithmetic number, because the mean of its divisors is an integer number (8173685520).

Almost surely, 2^312013022220 is an apocalyptic number.

312013022220 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 312013022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490421131200).

312013022220 is an abundant number, since it is smaller than the sum of its proper divisors (668829240180).

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

312013022220 is a wasteful number, since it uses less digits than its factorization.

312013022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402589 (or 402578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312013022220 its reverse (22220310213), we get a palindrome (334233332433).

The spelling of 312013022220 in words is "three hundred twelve billion, thirteen million, twenty-two thousand, two hundred twenty".