312042000300 has 72 divisors (see below), whose sum is σ = 908380568256. Its totient is φ = 82700688960.

The previous prime is 312042000253. The next prime is 312042000301. The reversal of 312042000300 is 3000240213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312042000300.

It is not an unprimeable number, because it can be changed into a prime (312042000301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3141714 + ... + 3239513.

Almost surely, 2^312042000300 is an apocalyptic number.

312042000300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312042000300 is an abundant number, since it is smaller than the sum of its proper divisors (596338567956).

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

312042000300 is a wasteful number, since it uses less digits than its factorization.

312042000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6381407 (or 6381400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 312042000300 its reverse (3000240213), we get a palindrome (315042240513).

The spelling of 312042000300 in words is "three hundred twelve billion, forty-two million, three hundred", and thus it is an aban number.