312311300000 has 216 divisors, whose sum is σ = 894017615148. Its totient is φ = 107076480000.

The previous prime is 312311299973. The next prime is 312311300023. The reversal of 312311300000 is 3113213.

It can be written as a sum of positive squares in 6 ways, for example, as 139956795664 + 172354504336 = 374108^2 + 415156^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4868132 + ... + 4931868.

Almost surely, 2^312311300000 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 312311300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447008807574).

312311300000 is an abundant number, since it is smaller than the sum of its proper divisors (581706315148).

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

312311300000 is an frugal number, since it uses more digits than its factorization.

312311300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63786 (or 63751 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 312311300000 its reverse (3113213), we get a palindrome (312314413213).

The spelling of 312311300000 in words is "three hundred twelve billion, three hundred eleven million, three hundred thousand".