312999820040 has 96 divisors (see below), whose sum is σ = 751223781000. Its totient is φ = 117345239040.

The previous prime is 312999820013. The next prime is 312999820061. The reversal of 312999820040 is 40028999213.

It can be written as a sum of positive squares in 12 ways, for example, as 190481619364 + 122518200676 = 436442^2 + 350026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2729786 + ... + 2842134.

Almost surely, 2^312999820040 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 312999820040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375611890500).

312999820040 is an abundant number, since it is smaller than the sum of its proper divisors (438223960960).

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

312999820040 is a wasteful number, since it uses less digits than its factorization.

312999820040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112635 (or 112614 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The spelling of 312999820040 in words is "three hundred twelve billion, nine hundred ninety-nine million, eight hundred twenty thousand, forty".