312314042405000 has 160 divisors (see below), whose sum is σ = 754322784910200. Its totient is φ = 121097373696000.

The previous prime is 312314042404981. The next prime is 312314042405021. The reversal of 312314042405000 is 504240413213.

It can be written as a sum of positive squares in 20 ways, for example, as 54950760242884 + 257363282162116 = 7412878^2 + 16042546^2 .

It is a super-2 number, since 2×312314042405000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46627112 + ... + 52902888.

Almost surely, 2^{312314042405000} 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 312314042405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377161392455100).

312314042405000 is an abundant number, since it is smaller than the sum of its proper divisors (442008742505200).

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

312314042405000 is a wasteful number, since it uses less digits than its factorization.

312314042405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276109 (or 6276090 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 312314042405000 its reverse (504240413213), we get a palindrome (312818282818213).

The spelling of 312314042405000 in words is "three hundred twelve trillion, three hundred fourteen billion, forty-two million, four hundred five thousand".