12226636800 has 1188 divisors, whose sum is σ = 55123826760. Its totient is φ = 2647572480.

The previous prime is 12226636789. The next prime is 12226636859. The reversal of 12226636800 is 863662221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12226636800 is a `hidden beast` number, since 12 + 2 + 2 + 6 + 636 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×12226636800² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 643507191 + ... + 643507209.

Almost surely, 2^12226636800 is an apocalyptic number.

12226636800 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 12226636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27561913380).

12226636800 is an abundant number, since it is smaller than the sum of its proper divisors (42897189960).

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

12226636800 is a wasteful number, since it uses less digits than its factorization.

12226636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12226636800 in words is "twelve billion, two hundred twenty-six million, six hundred thirty-six thousand, eight hundred".