12253503225600 has 6048 divisors, whose sum is σ = 62054139392000. Its totient is φ = 2370274099200.

The previous prime is 12253503225577. The next prime is 12253503225611. The reversal of 12253503225600 is 652230535221.

12253503225600 is a `hidden beast` number, since 1 + 2 + 25 + 3 + 5 + 0 + 3 + 2 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 395274297585 + ... + 395274297615.

Almost surely, 2^{12253503225600} is an apocalyptic number.

12253503225600 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 12253503225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31027069696000).

12253503225600 is an abundant number, since it is smaller than the sum of its proper divisors (49800636166400).

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

12253503225600 is an equidigital number, since it uses as much as digits as its factorization.

12253503225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 12253503225600 in words is "twelve trillion, two hundred fifty-three billion, five hundred three million, two hundred twenty-five thousand, six hundred".