12253597200 has 360 divisors, whose sum is σ = 46241290368. Its totient is φ = 2986859520.

The previous prime is 12253597177. The next prime is 12253597217. The reversal of 12253597200 is 279535221.

12253597200 is a `hidden beast` number, since 12 + 2 + 53 + 597 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5006377 + ... + 5008823.

Almost surely, 2^12253597200 is an apocalyptic number.

12253597200 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 12253597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23120645184).

12253597200 is an abundant number, since it is smaller than the sum of its proper divisors (33987693168).

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

12253597200 is a wasteful number, since it uses less digits than its factorization.

12253597200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12253597200 in words is "twelve billion, two hundred fifty-three million, five hundred ninety-seven thousand, two hundred".