12313501200 has 1920 divisors, whose sum is σ = 63235952640. Its totient is φ = 2189721600.

The previous prime is 12313501169. The next prime is 12313501201. The reversal of 12313501200 is 210531321.

12313501200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (12313501201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 183783567 + ... + 183783633.

It is an arithmetic number, because the mean of its divisors is an integer number (32935392).

Almost surely, 2^12313501200 is an apocalyptic number.

12313501200 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 12313501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31617976320).

12313501200 is an abundant number, since it is smaller than the sum of its proper divisors (50922451440).

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

12313501200 is a wasteful number, since it uses less digits than its factorization.

12313501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 12313501200 in words is "twelve billion, three hundred thirteen million, five hundred one thousand, two hundred".