312012330000 has 400 divisors, whose sum is σ = 1160268595200. Its totient is φ = 70749504000.

The previous prime is 312012329987. The next prime is 312012330053. The reversal of 312012330000 is 33210213.

It is a tau number, because it is divible by the number of its divisors (400).

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

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 79 ways as a sum of consecutive naturals, for example, 26664151 + ... + 26675849.

It is an arithmetic number, because the mean of its divisors is an integer number (2900671488).

Almost surely, 2^312012330000 is an apocalyptic number.

312012330000 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 312012330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580134297600).

312012330000 is an abundant number, since it is smaller than the sum of its proper divisors (848256265200).

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

312012330000 is a wasteful number, since it uses less digits than its factorization.

312012330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864 (or 11843 counting only the distinct ones).

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

Adding to 312012330000 its reverse (33210213), we get a palindrome (312045540213).

The spelling of 312012330000 in words is "three hundred twelve billion, twelve million, three hundred thirty thousand".