312221122320 has 80 divisors (see below), whose sum is σ = 973292794560. Its totient is φ = 82793820672.

The previous prime is 312221122303. The next prime is 312221122373. The reversal of 312221122320 is 23221122213.

It is a tau number, because it is divible by the number of its divisors (80).

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, 3590899 + ... + 3676818.

It is an arithmetic number, because the mean of its divisors is an integer number (12166159932).

Almost surely, 2^312221122320 is an apocalyptic number.

312221122320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312221122320 is an abundant number, since it is smaller than the sum of its proper divisors (661071672240).

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

312221122320 is a wasteful number, since it uses less digits than its factorization.

312221122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267912 (or 7267906 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 312221122320 its reverse (23221122213), we get a palindrome (335442244533).

The spelling of 312221122320 in words is "three hundred twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty".