13222413120 has 448 divisors, whose sum is σ = 52259788800. Its totient is φ = 2763694080.

The previous prime is 13222413109. The next prime is 13222413151. The reversal of 13222413120 is 2131422231.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3700935 + ... + 3704505.

Almost surely, 2^13222413120 is an apocalyptic number.

13222413120 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 13222413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26129894400).

13222413120 is an abundant number, since it is smaller than the sum of its proper divisors (39037375680).

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

13222413120 is a wasteful number, since it uses less digits than its factorization.

13222413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13222413120 its reverse (2131422231), we get a palindrome (15353835351).

The spelling of 13222413120 in words is "thirteen billion, two hundred twenty-two million, four hundred thirteen thousand, one hundred twenty".