312141231112400 has 120 divisors (see below), whose sum is σ = 764086817807064. Its totient is φ = 122497809408000.

The previous prime is 312141231112369. The next prime is 312141231112421. The reversal of 312141231112400 is 4211132141213.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 99238814049424 + 212902417062976 = 9961868^2 + 14591176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312141231112400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042402700 + ... + 1042702100.

Almost surely, 2^{312141231112400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312141231112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382043408903532).

312141231112400 is an abundant number, since it is smaller than the sum of its proper divisors (451945586694664).

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

312141231112400 is a wasteful number, since it uses less digits than its factorization.

312141231112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348649 (or 348638 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 312141231112400 its reverse (4211132141213), we get a palindrome (316352363253613).

The spelling of 312141231112400 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred thirty-one million, one hundred twelve thousand, four hundred".