312304102032 has 320 divisors, whose sum is σ = 917952358400. Its totient is φ = 90833633280.

The previous prime is 312304102009. The next prime is 312304102073. The reversal of 312304102032 is 230201403213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153919194 + ... + 153921222.

It is an arithmetic number, because the mean of its divisors is an integer number (2868601120).

Almost surely, 2^312304102032 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 312304102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458976179200).

312304102032 is an abundant number, since it is smaller than the sum of its proper divisors (605648256368).

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

312304102032 is a wasteful number, since it uses less digits than its factorization.

312304102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 312304102032 its reverse (230201403213), we get a palindrome (542505505245).

The spelling of 312304102032 in words is "three hundred twelve billion, three hundred four million, one hundred two thousand, thirty-two".