13231224000 has 336 divisors, whose sum is σ = 47682887616. Its totient is φ = 3502080000.

The previous prime is 13231223959. The next prime is 13231224011. The reversal of 13231224000 is 42213231.

13231224000 is a `hidden beast` number, since 13 + 231 + 22 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 10871392 + ... + 10872608.

It is an arithmetic number, because the mean of its divisors is an integer number (141913356).

Almost surely, 2^13231224000 is an apocalyptic number.

13231224000 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 13231224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841443808).

13231224000 is an abundant number, since it is smaller than the sum of its proper divisors (34451663616).

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

13231224000 is a wasteful number, since it uses less digits than its factorization.

13231224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13231224000 its reverse (42213231), we get a palindrome (13273437231).

The spelling of 13231224000 in words is "thirteen billion, two hundred thirty-one million, two hundred twenty-four thousand".