13224000000 has 560 divisors, whose sum is σ = 47952511200. Its totient is φ = 3225600000.

The previous prime is 13223999917. The next prime is 13224000007. The reversal of 13224000000 is 42231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 13224000000.

It is not an unprimeable number, because it can be changed into a prime (13224000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 455999986 + ... + 456000014.

Almost surely, 2^13224000000 is an apocalyptic number.

13224000000 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 13224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23976255600).

13224000000 is an abundant number, since it is smaller than the sum of its proper divisors (34728511200).

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

13224000000 is an frugal number, since it uses more digits than its factorization.

13224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 13224000000 its reverse (42231), we get a palindrome (13224042231).

The spelling of 13224000000 in words is "thirteen billion, two hundred twenty-four million", and thus it is an aban number.