312233320200000 has 672 divisors, whose sum is σ = 1040931484621056. Its totient is φ = 82590976000000.

The previous prime is 312233320199987. The next prime is 312233320200013. The reversal of 312233320200000 is 2023332213.

It is an interprime number because it is at equal distance from previous prime (312233320199987) and next prime (312233320200013).

It is a self number, because there is not a number n which added to its sum of digits gives 312233320200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52204197010 + ... + 52204202990.

It is an arithmetic number, because the mean of its divisors is an integer number (1549005185448).

Almost surely, 2^{312233320200000} is an apocalyptic number.

312233320200000 is a gapful number since it is divisible by the number (30) 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 312233320200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520465742310528).

312233320200000 is an abundant number, since it is smaller than the sum of its proper divisors (728698164421056).

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

312233320200000 is an equidigital number, since it uses as much as digits as its factorization.

312233320200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 312233320200000 its reverse (2023332213), we get a palindrome (312235343532213).

The spelling of 312233320200000 in words is "three hundred twelve trillion, two hundred thirty-three billion, three hundred twenty million, two hundred thousand".