11122201012120 has 256 divisors, whose sum is σ = 29079912643200. Its totient is φ = 3783671808000.

The previous prime is 11122201012093. The next prime is 11122201012123. The reversal of 11122201012120 is 2121010222111.

It is a junction number, because it is equal to n+sod(n) for n = 11122201012094 and 11122201012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122201012123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884885196 + ... + 884897764.

Almost surely, 2^{11122201012120} is an apocalyptic number.

11122201012120 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 11122201012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14539956321600).

11122201012120 is an abundant number, since it is smaller than the sum of its proper divisors (17957711631080).

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

11122201012120 is a wasteful number, since it uses less digits than its factorization.

11122201012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310 (or 13306 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11122201012120 its reverse (2121010222111), we get a palindrome (13243211234231).

The spelling of 11122201012120 in words is "eleven trillion, one hundred twenty-two billion, two hundred one million, twelve thousand, one hundred twenty".