312133232112 has 240 divisors, whose sum is σ = 918944933760. Its totient is φ = 90741606912.

The previous prime is 312133232083. The next prime is 312133232113. The reversal of 312133232112 is 211232331213.

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 (312133232113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94383963 + ... + 94387269.

It is an arithmetic number, because the mean of its divisors is an integer number (3828937224).

Almost surely, 2^312133232112 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 312133232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459472466880).

312133232112 is an abundant number, since it is smaller than the sum of its proper divisors (606811701648).

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

312133232112 is a wasteful number, since it uses less digits than its factorization.

312133232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3763 counting only the distinct ones).

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

Adding to 312133232112 its reverse (211232331213), we get a palindrome (523365563325).

The spelling of 312133232112 in words is "three hundred twelve billion, one hundred thirty-three million, two hundred thirty-two thousand, one hundred twelve".