312001142132000 has 96 divisors (see below), whose sum is σ = 791315413185024. Its totient is φ = 120774635616000.

The previous prime is 312001142131997. The next prime is 312001142132003. The reversal of 312001142132000 is 231241100213.

It is an interprime number because it is at equal distance from previous prime (312001142131997) and next prime (312001142132003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (312001142132003) 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, 1257945122 + ... + 1258193121.

It is an arithmetic number, because the mean of its divisors is an integer number (8242868887344).

Almost surely, 2^{312001142132000} is an apocalyptic number.

It is an amenable number.

312001142132000 is an abundant number, since it is smaller than the sum of its proper divisors (479314271053024).

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

312001142132000 is a wasteful number, since it uses less digits than its factorization.

312001142132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516138299 (or 2516138281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312001142132000 its reverse (231241100213), we get a palindrome (312232383232213).

The spelling of 312001142132000 in words is "three hundred twelve trillion, one billion, one hundred forty-two million, one hundred thirty-two thousand".