312100102320000 has 320 divisors, whose sum is σ = 1052920908518160. Its totient is φ = 81862318080000.

The previous prime is 312100102319987. The next prime is 312100102320011. The reversal of 312100102320000 is 23201001213.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3980844 + ... + 25299156.

Almost surely, 2^{312100102320000} is an apocalyptic number.

312100102320000 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 312100102320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526460454259080).

312100102320000 is an abundant number, since it is smaller than the sum of its proper divisors (740820806198160).

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

312100102320000 is an equidigital number, since it uses as much as digits as its factorization.

312100102320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21318411 (or 21318384 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312100102320000 its reverse (23201001213), we get a palindrome (312123303321213).

The spelling of 312100102320000 in words is "three hundred twelve trillion, one hundred billion, one hundred two million, three hundred twenty thousand".