13222343200 has 288 divisors, whose sum is σ = 38277550080. Its totient is φ = 4406400000.

The previous prime is 13222343177. The next prime is 13222343213. The reversal of 13222343200 is 234322231.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 47 ways as a sum of consecutive naturals, for example, 5181925 + ... + 5184475.

It is an arithmetic number, because the mean of its divisors is an integer number (132908160).

Almost surely, 2^13222343200 is an apocalyptic number.

13222343200 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 13222343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138775040).

13222343200 is an abundant number, since it is smaller than the sum of its proper divisors (25055206880).

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

13222343200 is a wasteful number, since it uses less digits than its factorization.

13222343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 13222343200 its reverse (234322231), we get a palindrome (13456665431).

The spelling of 13222343200 in words is "thirteen billion, two hundred twenty-two million, three hundred forty-three thousand, two hundred".