312300100000 has 288 divisors, whose sum is σ = 880919867520. Its totient is φ = 106753920000.

The previous prime is 312300099997. The next prime is 312300100061. The reversal of 312300100000 is 1003213.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 312300100000.

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, 461299662 + ... + 461300338.

It is an arithmetic number, because the mean of its divisors is an integer number (3058749540).

Almost surely, 2^312300100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312300100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440459933760).

312300100000 is an abundant number, since it is smaller than the sum of its proper divisors (568619767520).

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

312300100000 is an frugal number, since it uses more digits than its factorization.

312300100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 312300100000 its reverse (1003213), we get a palindrome (312301103213).

The spelling of 312300100000 in words is "three hundred twelve billion, three hundred million, one hundred thousand".