312421024131144 has 128 divisors (see below), whose sum is σ = 870564614976000. Its totient is φ = 92851342930944.

The previous prime is 312421024131103. The next prime is 312421024131149. The reversal of 312421024131144 is 441131420124213.

It is a super-3 number, since 3×312421024131144³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (312421024131149) 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, 162916267 + ... + 164822789.

It is an arithmetic number, because the mean of its divisors is an integer number (6801286054500).

Almost surely, 2^{312421024131144} is an apocalyptic number.

312421024131144 is a gapful number since it is divisible by the number (34) 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 312421024131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435282307488000).

312421024131144 is an abundant number, since it is smaller than the sum of its proper divisors (558143590844856).

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

312421024131144 is a wasteful number, since it uses less digits than its factorization.

312421024131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927707 (or 1927703 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 312421024131144 its reverse (441131420124213), we get a palindrome (753552444255357).

The spelling of 312421024131144 in words is "three hundred twelve trillion, four hundred twenty-one billion, twenty-four million, one hundred thirty-one thousand, one hundred forty-four".