13226188800 has 672 divisors, whose sum is σ = 50706040320. Its totient is φ = 3008102400.

The previous prime is 13226188799. The next prime is 13226188861. The reversal of 13226188800 is 888162231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128409549 + ... + 128409651.

Almost surely, 2^13226188800 is an apocalyptic number.

13226188800 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 13226188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25353020160).

13226188800 is an abundant number, since it is smaller than the sum of its proper divisors (37479851520).

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

13226188800 is a wasteful number, since it uses less digits than its factorization.

13226188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 13226188800 in words is "thirteen billion, two hundred twenty-six million, one hundred eighty-eight thousand, eight hundred".