312100320000 has 720 divisors, whose sum is σ = 1227540061440. Its totient is φ = 68855808000.

The previous prime is 312100319987. The next prime is 312100320061. The reversal of 312100320000 is 23001213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97438399 + ... + 97441601.

It is an arithmetic number, because the mean of its divisors is an integer number (1704916752).

Almost surely, 2^312100320000 is an apocalyptic number.

312100320000 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 312100320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613770030720).

312100320000 is an abundant number, since it is smaller than the sum of its proper divisors (915439741440).

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

312100320000 is an equidigital number, since it uses as much as digits as its factorization.

312100320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 312100320000 its reverse (23001213), we get a palindrome (312123321213).

The spelling of 312100320000 in words is "three hundred twelve billion, one hundred million, three hundred twenty thousand".