312003312000 has 256 divisors, whose sum is σ = 1095134489280. Its totient is φ = 78306508800.

The previous prime is 312003311989. The next prime is 312003312037. The reversal of 312003312000 is 213300213.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624822 + ... + 1007178.

Almost surely, 2^312003312000 is an apocalyptic number.

312003312000 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 312003312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547567244640).

312003312000 is an abundant number, since it is smaller than the sum of its proper divisors (783131177280).

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

312003312000 is a wasteful number, since it uses less digits than its factorization.

312003312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382406 (or 382384 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 312003312000 its reverse (213300213), we get a palindrome (312216612213).

The spelling of 312003312000 in words is "three hundred twelve billion, three million, three hundred twelve thousand".