12315283200 has 1296 divisors, whose sum is σ = 53935436800. Its totient is φ = 2737152000.

The previous prime is 12315283151. The next prime is 12315283247. The reversal of 12315283200 is 238251321.

12315283200 is a `hidden beast` number, since 1 + 2 + 315 + 28 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 397267185 + ... + 397267215.

Almost surely, 2^12315283200 is an apocalyptic number.

12315283200 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 12315283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26967718400).

12315283200 is an abundant number, since it is smaller than the sum of its proper divisors (41620153600).

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

12315283200 is a wasteful number, since it uses less digits than its factorization.

12315283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12315283200 in words is "twelve billion, three hundred fifteen million, two hundred eighty-three thousand, two hundred".