13221201120 has 384 divisors, whose sum is σ = 44633659392. Its totient is φ = 3284582400.

The previous prime is 13221201109. The next prime is 13221201127. The reversal of 13221201120 is 2110212231.

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 13221201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221201127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48786585 + ... + 48786855.

It is an arithmetic number, because the mean of its divisors is an integer number (116233488).

Almost surely, 2^13221201120 is an apocalyptic number.

13221201120 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 13221201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22316829696).

13221201120 is an abundant number, since it is smaller than the sum of its proper divisors (31412458272).

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

13221201120 is a wasteful number, since it uses less digits than its factorization.

13221201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13221201120 its reverse (2110212231), we get a palindrome (15331413351).

The spelling of 13221201120 in words is "thirteen billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".