13221212320 has 192 divisors, whose sum is σ = 34139750400. Its totient is φ = 4820014080.

The previous prime is 13221212311. The next prime is 13221212321. The reversal of 13221212320 is 2321212231.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (13221212321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22523067 + ... + 22523653.

It is an arithmetic number, because the mean of its divisors is an integer number (177811200).

Almost surely, 2^13221212320 is an apocalyptic number.

13221212320 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 13221212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17069875200).

13221212320 is an abundant number, since it is smaller than the sum of its proper divisors (20918538080).

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

13221212320 is a wasteful number, since it uses less digits than its factorization.

13221212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13221212320 its reverse (2321212231), we get a palindrome (15542424551).

The spelling of 13221212320 in words is "thirteen billion, two hundred twenty-one million, two hundred twelve thousand, three hundred twenty".