12221120013200 has 240 divisors, whose sum is σ = 35538516817920. Its totient is φ = 3945210831360.

The previous prime is 12221120013199. The next prime is 12221120013253. The reversal of 12221120013200 is 231002112221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7966937 + ... + 9376263.

It is an arithmetic number, because the mean of its divisors is an integer number (148077153408).

Almost surely, 2^{12221120013200} is an apocalyptic number.

12221120013200 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 12221120013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769258408960).

12221120013200 is an abundant number, since it is smaller than the sum of its proper divisors (23317396804720).

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

12221120013200 is a wasteful number, since it uses less digits than its factorization.

12221120013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409534 (or 1409523 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12221120013200 its reverse (231002112221), we get a palindrome (12452122125421).

The spelling of 12221120013200 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty million, thirteen thousand, two hundred".