12255667200 has 1056 divisors, whose sum is σ = 54826848000. Its totient is φ = 2618818560.

The previous prime is 12255667199. The next prime is 12255667247. The reversal of 12255667200 is 276655221.

12255667200 is a `hidden beast` number, since 1 + 2 + 25 + 566 + 72 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 82252726 + ... + 82252874.

Almost surely, 2^12255667200 is an apocalyptic number.

12255667200 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 12255667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27413424000).

12255667200 is an abundant number, since it is smaller than the sum of its proper divisors (42571180800).

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

12255667200 is a wasteful number, since it uses less digits than its factorization.

12255667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 12255667200 in words is "twelve billion, two hundred fifty-five million, six hundred sixty-seven thousand, two hundred".