12253593600 has 408 divisors, whose sum is σ = 45182795120. Its totient is φ = 3255828480.

The previous prime is 12253593589. The next prime is 12253593607. The reversal of 12253593600 is 639535221.

12253593600 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 3 + 593 + 60 + 0 = 666.

It is a super-2 number, since 2×12253593600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253593607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44236662 + ... + 44236938.

Almost surely, 2^12253593600 is an apocalyptic number.

12253593600 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 12253593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22591397560).

12253593600 is an abundant number, since it is smaller than the sum of its proper divisors (32929201520).

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

12253593600 is an frugal number, since it uses more digits than its factorization.

12253593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 12253593600 in words is "twelve billion, two hundred fifty-three million, five hundred ninety-three thousand, six hundred".