312320200000000 has 180 divisors, whose sum is σ = 780038099643726. Its totient is φ = 124928000000000.

The previous prime is 312320199999971. The next prime is 312320200000027. The reversal of 312320200000000 is 2023213.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 301662430138624 + 10657769861376 = 17368432^2 + 3264624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199219200 + ... + 200780800.

Almost surely, 2^{312320200000000} 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 312320200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390019049821863).

312320200000000 is an abundant number, since it is smaller than the sum of its proper divisors (467717899643726).

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

312320200000000 is an frugal number, since it uses more digits than its factorization.

312320200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561659 (or 1561608 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 312320200000000 its reverse (2023213), we get a palindrome (312320202023213).

The spelling of 312320200000000 in words is "three hundred twelve trillion, three hundred twenty billion, two hundred million", and thus it is an aban number.