13226803200 has 816 divisors, whose sum is σ = 54609421440. Its totient is φ = 3114270720.

The previous prime is 13226803171. The next prime is 13226803207. The reversal of 13226803200 is 230862231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13226803207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575078389 + ... + 575078411.

Almost surely, 2^13226803200 is an apocalyptic number.

13226803200 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 13226803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27304710720).

13226803200 is an abundant number, since it is smaller than the sum of its proper divisors (41382618240).

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

13226803200 is an equidigital number, since it uses as much as digits as its factorization.

13226803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13226803200 in words is "thirteen billion, two hundred twenty-six million, eight hundred three thousand, two hundred".