312012020032 has 56 divisors (see below), whose sum is σ = 639984609792. Its totient is φ = 150769651200.

The previous prime is 312012019981. The next prime is 312012020041. The reversal of 312012020032 is 230020210213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312012019988 and 312012020015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368282 + ... + 1579942.

Almost surely, 2^312012020032 is an apocalyptic number.

312012020032 is a gapful number since it is divisible by the number (32) 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 312012020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319992304896).

312012020032 is an abundant number, since it is smaller than the sum of its proper divisors (327972589760).

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

312012020032 is a wasteful number, since it uses less digits than its factorization.

312012020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212447 (or 212437 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312012020032 its reverse (230020210213), we get a palindrome (542032230245).

The spelling of 312012020032 in words is "three hundred twelve billion, twelve million, twenty thousand, thirty-two".