312032100000 has 288 divisors, whose sum is σ = 1051497199872. Its totient is φ = 80956800000.

The previous prime is 312032099993. The next prime is 312032100013. The reversal of 312032100000 is 1230213.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11085945 + ... + 11114055.

It is an arithmetic number, because the mean of its divisors is an integer number (3651031944).

Almost surely, 2^312032100000 is an apocalyptic number.

312032100000 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 312032100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525748599936).

312032100000 is an abundant number, since it is smaller than the sum of its proper divisors (739465099872).

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

312032100000 is an equidigital number, since it uses as much as digits as its factorization.

312032100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28186 (or 28158 counting only the distinct ones).

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

Adding to 312032100000 its reverse (1230213), we get a palindrome (312033330213).

The spelling of 312032100000 in words is "three hundred twelve billion, thirty-two million, one hundred thousand".