13222120330320 has 320 divisors, whose sum is σ = 45155540717568. Its totient is φ = 3173914368000.

The previous prime is 13222120330291. The next prime is 13222120330357. The reversal of 13222120330320 is 2303302122231.

It is a super-2 number, since 2×13222120330320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 116560030 + ... + 116673410.

Almost surely, 2^{13222120330320} is an apocalyptic number.

13222120330320 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 13222120330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22577770358784).

13222120330320 is an abundant number, since it is smaller than the sum of its proper divisors (31933420387248).

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

13222120330320 is a wasteful number, since it uses less digits than its factorization.

13222120330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113842 (or 113836 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13222120330320 its reverse (2303302122231), we get a palindrome (15525422452551).

The spelling of 13222120330320 in words is "thirteen trillion, two hundred twenty-two billion, one hundred twenty million, three hundred thirty thousand, three hundred twenty".