312330018000 has 3840 divisors, whose sum is σ = 1600457564160. Its totient is φ = 51093504000.

The previous prime is 312330017947. The next prime is 312330018053. The reversal of 312330018000 is 810033213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312330017947) and next prime (312330018053).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 13579565989 + ... + 13579566011.

It is an arithmetic number, because the mean of its divisors is an integer number (416785824).

Almost surely, 2^312330018000 is an apocalyptic number.

312330018000 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 312330018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800228782080).

312330018000 is an abundant number, since it is smaller than the sum of its proper divisors (1288127546160).

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

312330018000 is a wasteful number, since it uses less digits than its factorization.

312330018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 312330018000 in words is "three hundred twelve billion, three hundred thirty million, eighteen thousand".