312233011320000 has 560 divisors, whose sum is σ = 1054572333230592. Its totient is φ = 81467957760000.

The previous prime is 312233011319923. The next prime is 312233011320007. The reversal of 312233011320000 is 23110332213.

It is not an unprimeable number, because it can be changed into a prime (312233011320007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32379235179 + ... + 32379244821.

Almost surely, 2^{312233011320000} is an apocalyptic number.

312233011320000 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 312233011320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527286166615296).

312233011320000 is an abundant number, since it is smaller than the sum of its proper divisors (742339321910592).

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

312233011320000 is an equidigital number, since it uses as much as digits as its factorization.

312233011320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15466 (or 15441 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312233011320000 its reverse (23110332213), we get a palindrome (312256121652213).

The spelling of 312233011320000 in words is "three hundred twelve trillion, two hundred thirty-three billion, eleven million, three hundred twenty thousand".