312002232320096 has 192 divisors, whose sum is σ = 640660581550080. Its totient is φ = 149437339084800.

The previous prime is 312002232320041. The next prime is 312002232320159. The reversal of 312002232320096 is 690023232200213.

It is a super-2 number, since 2×312002232320096² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77018569271 + ... + 77018573321.

It is an arithmetic number, because the mean of its divisors is an integer number (3336773862240).

Almost surely, 2^{312002232320096} 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 312002232320096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320330290775040).

312002232320096 is an abundant number, since it is smaller than the sum of its proper divisors (328658349229984).

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

312002232320096 is a wasteful number, since it uses less digits than its factorization.

312002232320096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 312002232320096 in words is "three hundred twelve trillion, two billion, two hundred thirty-two million, three hundred twenty thousand, ninety-six".