312231000032 has 384 divisors, whose sum is σ = 793618560000. Its totient is φ = 117908324352.

The previous prime is 312231000031. The next prime is 312231000041. The reversal of 312231000032 is 230000132213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312231000031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385946444 + ... + 385947252.

It is an arithmetic number, because the mean of its divisors is an integer number (2066715000).

Almost surely, 2^312231000032 is an apocalyptic number.

312231000032 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 312231000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396809280000).

312231000032 is an abundant number, since it is smaller than the sum of its proper divisors (481387559968).

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

312231000032 is a wasteful number, since it uses less digits than its factorization.

312231000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 312231000032 its reverse (230000132213), we get a palindrome (542231132245).

The spelling of 312231000032 in words is "three hundred twelve billion, two hundred thirty-one million, thirty-two", and thus it is an aban number.