312132120041000 has 64 divisors (see below), whose sum is σ = 834730469614080. Its totient is φ = 107016726868800.

The previous prime is 312132120040981. The next prime is 312132120041023. The reversal of 312132120041000 is 140021231213.

It is a super-2 number, since 2×312132120041000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22295144432 + ... + 22295158431.

It is an arithmetic number, because the mean of its divisors is an integer number (13042663587720).

Almost surely, 2^{312132120041000} is an apocalyptic number.

It is an amenable number.

312132120041000 is an abundant number, since it is smaller than the sum of its proper divisors (522598349573080).

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

312132120041000 is a wasteful number, since it uses less digits than its factorization.

312132120041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44590302891 (or 44590302877 counting only the distinct ones).

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

Adding to 312132120041000 its reverse (140021231213), we get a palindrome (312272141272213).

The spelling of 312132120041000 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, forty-one thousand".