312003232000 has 144 divisors (see below), whose sum is σ = 787083897600. Its totient is φ = 123220531200.

The previous prime is 312003231989. The next prime is 312003232169. The reversal of 312003232000 is 232300213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2466291 + ... + 2589709.

It is an arithmetic number, because the mean of its divisors is an integer number (5465860400).

Almost surely, 2^312003232000 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 312003232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393541948800).

312003232000 is an abundant number, since it is smaller than the sum of its proper divisors (475080665600).

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

312003232000 is an equidigital number, since it uses as much as digits as its factorization.

312003232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123529 (or 123505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 312003232000 its reverse (232300213), we get a palindrome (312235532213).

The spelling of 312003232000 in words is "three hundred twelve billion, three million, two hundred thirty-two thousand".