12312313300300 has 288 divisors, whose sum is σ = 29386359152640. Its totient is φ = 4450365926400.

The previous prime is 12312313300219. The next prime is 12312313300351. The reversal of 12312313300300 is 300331321321.

12312313300300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6038406681 + ... + 6038408719.

It is an arithmetic number, because the mean of its divisors is an integer number (102035969280).

Almost surely, 2^{12312313300300} is an apocalyptic number.

12312313300300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312313300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14693179576320).

12312313300300 is an abundant number, since it is smaller than the sum of its proper divisors (17074045852340).

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

12312313300300 is a wasteful number, since it uses less digits than its factorization.

12312313300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 12312313300300 its reverse (300331321321), we get a palindrome (12612644621621).

The spelling of 12312313300300 in words is "twelve trillion, three hundred twelve billion, three hundred thirteen million, three hundred thousand, three hundred".