13221123200 has 96 divisors (see below), whose sum is σ = 33786760500. Its totient is φ = 5106053120.

The previous prime is 13221123187. The next prime is 13221123277. The reversal of 13221123200 is 232112231.

It can be written as a sum of positive squares in 6 ways, for example, as 3985144384 + 9235978816 = 63128^2 + 96104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21566 + ... + 164034.

Almost surely, 2^13221123200 is an apocalyptic number.

13221123200 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 13221123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16893380250).

13221123200 is an abundant number, since it is smaller than the sum of its proper divisors (20565637300).

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

13221123200 is a wasteful number, since it uses less digits than its factorization.

13221123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142522 (or 142505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13221123200 its reverse (232112231), we get a palindrome (13453235431).

The spelling of 13221123200 in words is "thirteen billion, two hundred twenty-one million, one hundred twenty-three thousand, two hundred".