312344012410300 has 144 divisors (see below), whose sum is σ = 748600328734720. Its totient is φ = 112388392892160.

The previous prime is 312344012410289. The next prime is 312344012410307. The reversal of 312344012410300 is 3014210443213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312344012410307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18176149 + ... + 30904051.

Almost surely, 2^{312344012410300} 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 312344012410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374300164367360).

312344012410300 is an abundant number, since it is smaller than the sum of its proper divisors (436256316324420).

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

312344012410300 is a wasteful number, since it uses less digits than its factorization.

312344012410300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12728412 (or 12728405 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312344012410300 its reverse (3014210443213), we get a palindrome (315358222853513).

The spelling of 312344012410300 in words is "three hundred twelve trillion, three hundred forty-four billion, twelve million, four hundred ten thousand, three hundred".