13222120320 has 128 divisors (see below), whose sum is σ = 46828404000. Its totient is φ = 3525894144.

The previous prime is 13222120283. The next prime is 13222120321. The reversal of 13222120320 is 2302122231.

13222120320 is a `hidden beast` number, since 1 + 3 + 222 + 120 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×13222120320³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13222120293 and 13222120302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222120321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365305 + ... + 399864.

Almost surely, 2^13222120320 is an apocalyptic number.

13222120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222120320 is an abundant number, since it is smaller than the sum of its proper divisors (33606283680).

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

13222120320 is an equidigital number, since it uses as much as digits as its factorization.

13222120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765197 (or 765179 counting only the distinct ones).

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

Adding to 13222120320 its reverse (2302122231), we get a palindrome (15524242551).

The spelling of 13222120320 in words is "thirteen billion, two hundred twenty-two million, one hundred twenty thousand, three hundred twenty".