312311332032 has 224 divisors, whose sum is σ = 995340249600. Its totient is φ = 84427702272.

The previous prime is 312311332031. The next prime is 312311332037. The reversal of 312311332032 is 230233113213.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 312311331993 and 312311332011.

It is not an unprimeable number, because it can be changed into a prime (312311332031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21161968 + ... + 21176720.

Almost surely, 2^312311332032 is an apocalyptic number.

312311332032 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 312311332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497670124800).

312311332032 is an abundant number, since it is smaller than the sum of its proper divisors (683028917568).

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

312311332032 is a wasteful number, since it uses less digits than its factorization.

312311332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15623 (or 15613 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 312311332032 its reverse (230233113213), we get a palindrome (542544445245).

The spelling of 312311332032 in words is "three hundred twelve billion, three hundred eleven million, three hundred thirty-two thousand, thirty-two".