312213131232 has 96 divisors (see below), whose sum is σ = 849159575712. Its totient is φ = 100362092544.

The previous prime is 312213131183. The next prime is 312213131239. The reversal of 312213131232 is 232131312213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312213131239) 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, 12448 + ... + 790304.

It is an arithmetic number, because the mean of its divisors is an integer number (8845412247).

Almost surely, 2^312213131232 is an apocalyptic number.

312213131232 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 312213131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424579787856).

312213131232 is an abundant number, since it is smaller than the sum of its proper divisors (536946444480).

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

312213131232 is a wasteful number, since it uses less digits than its factorization.

312213131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778020 (or 778012 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 312213131232 its reverse (232131312213), we get a palindrome (544344443445).

The spelling of 312213131232 in words is "three hundred twelve billion, two hundred thirteen million, one hundred thirty-one thousand, two hundred thirty-two".