12255637363200 has 4320 divisors, whose sum is σ = 59292013068288. Its totient is φ = 2360519884800.

The previous prime is 12255637363199. The next prime is 12255637363267. The reversal of 12255637363200 is 236373655221.

12255637363200 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 6 + 3 + 7 + 3 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 96501081537 + ... + 96501081663.

Almost surely, 2^{12255637363200} is an apocalyptic number.

12255637363200 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 12255637363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29646006534144).

12255637363200 is an abundant number, since it is smaller than the sum of its proper divisors (47036375705088).

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

12255637363200 is a wasteful number, since it uses less digits than its factorization.

12255637363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 12255637363200 in words is "twelve trillion, two hundred fifty-five billion, six hundred thirty-seven million, three hundred sixty-three thousand, two hundred".