12056947200 has 600 divisors, whose sum is σ = 46277512380. Its totient is φ = 3096576000.

The previous prime is 12056947187. The next prime is 12056947207. The reversal of 12056947200 is 274965021.

12056947200 is a `hidden beast` number, since 1 + 20 + 569 + 4 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8520028416 + 3536918784 = 92304^2 + 59472^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 (12056947207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30067000 + ... + 30067400.

Almost surely, 2^12056947200 is an apocalyptic number.

12056947200 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 12056947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23138756190).

12056947200 is an abundant number, since it is smaller than the sum of its proper divisors (34220565180).

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

12056947200 is an equidigital number, since it uses as much as digits as its factorization.

12056947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12056947200 in words is "twelve billion, fifty-six million, nine hundred forty-seven thousand, two hundred".