312403113344300 has 288 divisors, whose sum is σ = 770852178302976. Its totient is φ = 108864191232000.

The previous prime is 312403113344299. The next prime is 312403113344369. The reversal of 312403113344300 is 3443311304213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9548631542 + ... + 9548664258.

It is an arithmetic number, because the mean of its divisors is an integer number (2676570063552).

Almost surely, 2^{312403113344300} 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 312403113344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385426089151488).

312403113344300 is an abundant number, since it is smaller than the sum of its proper divisors (458449064958676).

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

312403113344300 is a wasteful number, since it uses less digits than its factorization.

312403113344300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35497 (or 35490 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 312403113344300 its reverse (3443311304213), we get a palindrome (315846424648513).

The spelling of 312403113344300 in words is "three hundred twelve trillion, four hundred three billion, one hundred thirteen million, three hundred forty-four thousand, three hundred".