312424204043322 has 192 divisors, whose sum is σ = 796144316857344. Its totient is φ = 86685543118080.

The previous prime is 312424204043291. The next prime is 312424204043333. The reversal of 312424204043322 is 223340402424213.

312424204043322 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 242 + 0 + 404 + 3 + 3 + 2 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6382883653 + ... + 6382932599.

It is an arithmetic number, because the mean of its divisors is an integer number (4146584983632).

Almost surely, 2^{312424204043322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312424204043322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398072158428672).

312424204043322 is an abundant number, since it is smaller than the sum of its proper divisors (483720112814022).

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

312424204043322 is a wasteful number, since it uses less digits than its factorization.

312424204043322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54673 (or 54670 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 312424204043322 its reverse (223340402424213), we get a palindrome (535764606467535).

The spelling of 312424204043322 in words is "three hundred twelve trillion, four hundred twenty-four billion, two hundred four million, forty-three thousand, three hundred twenty-two".