312314010122312 has 192 divisors, whose sum is σ = 706560408388800. Its totient is φ = 128780961689600.

The previous prime is 312314010122171. The next prime is 312314010122333. The reversal of 312314010122312 is 213221010413213.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53211239 + ... + 58788297.

It is an arithmetic number, because the mean of its divisors is an integer number (3680002127025).

Almost surely, 2^{312314010122312} 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 312314010122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353280204194400).

312314010122312 is an abundant number, since it is smaller than the sum of its proper divisors (394246398266488).

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

312314010122312 is a wasteful number, since it uses less digits than its factorization.

312314010122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577228 (or 5577213 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 312314010122312 its reverse (213221010413213), we get a palindrome (525535020535525).

The spelling of 312314010122312 in words is "three hundred twelve trillion, three hundred fourteen billion, ten million, one hundred twenty-two thousand, three hundred twelve".