312100032000 has 320 divisors, whose sum is σ = 1065723557184. Its totient is φ = 80975462400.

The previous prime is 312100031959. The next prime is 312100032019. The reversal of 312100032000 is 230001213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 7082034 + ... + 7125966.

Almost surely, 2^312100032000 is an apocalyptic number.

312100032000 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 312100032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532861778592).

312100032000 is an abundant number, since it is smaller than the sum of its proper divisors (753623525184).

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

312100032000 is an equidigital number, since it uses as much as digits as its factorization.

312100032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44006 (or 43980 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 312100032000 its reverse (230001213), we get a palindrome (312330033213).

The spelling of 312100032000 in words is "three hundred twelve billion, one hundred million, thirty-two thousand".