312000313300 has 108 divisors (see below), whose sum is σ = 752942639316. Its totient is φ = 112086374400.

The previous prime is 312000313279. The next prime is 312000313301. The reversal of 312000313300 is 3313000213.

It can be written as a sum of positive squares in 18 ways, for example, as 148074118416 + 163926194884 = 384804^2 + 404878^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312000313301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375820 + ... + 874780.

Almost surely, 2^312000313300 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 312000313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376471319658).

312000313300 is an abundant number, since it is smaller than the sum of its proper divisors (440942326016).

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

312000313300 is a wasteful number, since it uses less digits than its factorization.

312000313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499038 (or 499018 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 312000313300 its reverse (3313000213), we get a palindrome (315313313513).

The spelling of 312000313300 in words is "three hundred twelve billion, three hundred thirteen thousand, three hundred".