13222122122220 has 384 divisors, whose sum is σ = 41056402867200. Its totient is φ = 3152776704000.

The previous prime is 13222122122219. The next prime is 13222122122221. The reversal of 13222122122220 is 2222122122231.

It is an interprime number because it is at equal distance from previous prime (13222122122219) and next prime (13222122122221).

It is not an unprimeable number, because it can be changed into a prime (13222122122221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7736758726 + ... + 7736760434.

It is an arithmetic number, because the mean of its divisors is an integer number (106917715800).

Almost surely, 2^{13222122122220} is an apocalyptic number.

13222122122220 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 13222122122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528201433600).

13222122122220 is an abundant number, since it is smaller than the sum of its proper divisors (27834280744980).

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

13222122122220 is a wasteful number, since it uses less digits than its factorization.

13222122122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13222122122220 its reverse (2222122122231), we get a palindrome (15444244244451).

The spelling of 13222122122220 in words is "thirteen trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".