11121201221120 has 160 divisors (see below), whose sum is σ = 27640564506720. Its totient is φ = 4286322933760.

The previous prime is 11121201221077. The next prime is 11121201221129. The reversal of 11121201221120 is 2112210212111.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×11121201221120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121201221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36299294 + ... + 36604386.

It is an arithmetic number, because the mean of its divisors is an integer number (172753528167).

Almost surely, 2^{11121201221120} is an apocalyptic number.

11121201221120 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 11121201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820282253360).

11121201221120 is an abundant number, since it is smaller than the sum of its proper divisors (16519363285600).

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

11121201221120 is an equidigital number, since it uses as much as digits as its factorization.

11121201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305636 (or 305620 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11121201221120 its reverse (2112210212111), we get a palindrome (13233411433231).

The spelling of 11121201221120 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".