13222224000 has 512 divisors, whose sum is σ = 49289011200. Its totient is φ = 3483648000.

The previous prime is 13222223957. The next prime is 13222224017. The reversal of 13222224000 is 42222231.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54863880 + ... + 54864120.

It is an arithmetic number, because the mean of its divisors is an integer number (96267600).

Almost surely, 2^13222224000 is an apocalyptic number.

13222224000 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 13222224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24644505600).

13222224000 is an abundant number, since it is smaller than the sum of its proper divisors (36066787200).

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

13222224000 is a wasteful number, since it uses less digits than its factorization.

13222224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13222224000 its reverse (42222231), we get a palindrome (13264446231).

The spelling of 13222224000 in words is "thirteen billion, two hundred twenty-two million, two hundred twenty-four thousand".