12181795200 has 384 divisors, whose sum is σ = 44830836000. Its totient is φ = 3230392320.

The previous prime is 12181795189. The next prime is 12181795207. The reversal of 12181795200 is 259718121.

It is a happy number.

12181795200 is a `hidden beast` number, since 121 + 8 + 1 + 7 + 9 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12181795200² (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 (12181795207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23932546 + ... + 23933054.

Almost surely, 2^12181795200 is an apocalyptic number.

12181795200 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 12181795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22415418000).

12181795200 is an abundant number, since it is smaller than the sum of its proper divisors (32649040800).

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

12181795200 is a wasteful number, since it uses less digits than its factorization.

12181795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 12181795200 in words is "twelve billion, one hundred eighty-one million, seven hundred ninety-five thousand, two hundred".