312021321312 has 96 divisors (see below), whose sum is σ = 825561096192. Its totient is φ = 103184031744.

The previous prime is 312021321263. The next prime is 312021321401. The reversal of 312021321312 is 213123120213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6776833 + ... + 6822719.

It is an arithmetic number, because the mean of its divisors is an integer number (8599594752).

Almost surely, 2^312021321312 is an apocalyptic number.

312021321312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312021321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412780548096).

312021321312 is an abundant number, since it is smaller than the sum of its proper divisors (513539774880).

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

312021321312 is a wasteful number, since it uses less digits than its factorization.

312021321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46460 (or 46452 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312021321312 its reverse (213123120213), we get a palindrome (525144441525).

The spelling of 312021321312 in words is "three hundred twelve billion, twenty-one million, three hundred twenty-one thousand, three hundred twelve".