312320322000 has 120 divisors (see below), whose sum is σ = 1090830840840. Its totient is φ = 83285414400.

The previous prime is 312320321969. The next prime is 312320322031. The reversal of 312320322000 is 223023213.

It is a happy number.

312320322000 is a `hidden beast` number, since 312 + 32 + 0 + 322 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312320321969) and next prime (312320322031).

It can be written as a sum of positive squares in 4 ways, for example, as 13968403344 + 298351918656 = 118188^2 + 546216^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8657565 + ... + 8693564.

It is an arithmetic number, because the mean of its divisors is an integer number (9090257007).

Almost surely, 2^312320322000 is an apocalyptic number.

312320322000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312320322000 is an abundant number, since it is smaller than the sum of its proper divisors (778510518840).

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

312320322000 is a wasteful number, since it uses less digits than its factorization.

312320322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17351158 (or 17351139 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 312320322000 its reverse (223023213), we get a palindrome (312543345213).

The spelling of 312320322000 in words is "three hundred twelve billion, three hundred twenty million, three hundred twenty-two thousand".