13221312120 has 96 divisors (see below), whose sum is σ = 44130640320. Its totient is φ = 3430391040.

The previous prime is 13221312119. The next prime is 13221312133. The reversal of 13221312120 is 2121312231.

13221312120 is a `hidden beast` number, since 1 + 322 + 131 + 212 + 0 = 666.

It is a super-3 number, since 3×13221312120³ (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 = 13221312093 and 13221312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482976 + ... + 509615.

It is an arithmetic number, because the mean of its divisors is an integer number (459694170).

Almost surely, 2^13221312120 is an apocalyptic number.

13221312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221312120 is an abundant number, since it is smaller than the sum of its proper divisors (30909328200).

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

13221312120 is a wasteful number, since it uses less digits than its factorization.

13221312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992645 (or 992638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13221312120 its reverse (2121312231), we get a palindrome (15342624351).

The spelling of 13221312120 in words is "thirteen billion, two hundred twenty-one million, three hundred twelve thousand, one hundred twenty".