13221011112120 has 384 divisors, whose sum is σ = 49695115991040. Its totient is φ = 2985853363200.

The previous prime is 13221011112037. The next prime is 13221011112151. The reversal of 13221011112120 is 2121111012231.

It is a happy number.

13221011112120 is a `hidden beast` number, since 132 + 210 + 1 + 111 + 212 + 0 = 666.

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 = 13221011112093 and 13221011112102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123897909 + ... + 124004571.

It is an arithmetic number, because the mean of its divisors is an integer number (129414364560).

Almost surely, 2^{13221011112120} is an apocalyptic number.

13221011112120 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 13221011112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24847557995520).

13221011112120 is an abundant number, since it is smaller than the sum of its proper divisors (36474104878920).

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

13221011112120 is a wasteful number, since it uses less digits than its factorization.

13221011112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107275 (or 107268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 13221011112120 its reverse (2121111012231), we get a palindrome (15342122124351).

It can be divided in two parts, 132210111 and 12120, that added together give a palindrome (132222231).

The spelling of 13221011112120 in words is "thirteen trillion, two hundred twenty-one billion, eleven million, one hundred twelve thousand, one hundred twenty".