13220301120 has 224 divisors, whose sum is σ = 45534437760. Its totient is φ = 3230392320.

The previous prime is 13220301103. The next prime is 13220301167. The reversal of 13220301120 is 2110302231.

13220301120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13220301120.

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 31 ways as a sum of consecutive naturals, for example, 1730910 + ... + 1738530.

It is an arithmetic number, because the mean of its divisors is an integer number (203278740).

Almost surely, 2^13220301120 is an apocalyptic number.

13220301120 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 13220301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22767218880).

13220301120 is an abundant number, since it is smaller than the sum of its proper divisors (32314136640).

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

13220301120 is a wasteful number, since it uses less digits than its factorization.

13220301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13220301120 its reverse (2110302231), we get a palindrome (15330603351).

The spelling of 13220301120 in words is "thirteen billion, two hundred twenty million, three hundred one thousand, one hundred twenty".