312131123241440 has 96 divisors (see below), whose sum is σ = 780804129571200. Its totient is φ = 117505583161344.

The previous prime is 312131123241433. The next prime is 312131123241449. The reversal of 312131123241440 is 44142321131213.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 312131123241397 and 312131123241406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131123241449) by changing a digit.

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, 123732569 + ... + 126229991.

It is an arithmetic number, because the mean of its divisors is an integer number (8133376349700).

Almost surely, 2^{312131123241440} is an apocalyptic number.

It is an amenable number.

312131123241440 is an abundant number, since it is smaller than the sum of its proper divisors (468673006329760).

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

312131123241440 is a wasteful number, since it uses less digits than its factorization.

312131123241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543404 (or 2543396 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 312131123241440 its reverse (44142321131213), we get a palindrome (356273444372653).

The spelling of 312131123241440 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred twenty-three million, two hundred forty-one thousand, four hundred forty".