11111122120120 has 128 divisors (see below), whose sum is σ = 28177951127040. Its totient is φ = 3908129379840.

The previous prime is 11111122120097. The next prime is 11111122120237. The reversal of 11111122120120 is 2102122111111.

It is a junction number, because it is equal to n+sod(n) for n = 11111122120094 and 11111122120103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902059 + ... + 4799578.

It is an arithmetic number, because the mean of its divisors is an integer number (220140243180).

Almost surely, 2^{11111122120120} is an apocalyptic number.

11111122120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111122120120 is an abundant number, since it is smaller than the sum of its proper divisors (17066829006920).

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

11111122120120 is a wasteful number, since it uses less digits than its factorization.

11111122120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701805 (or 5701801 counting only the distinct ones).

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

Adding to 11111122120120 its reverse (2102122111111), we get a palindrome (13213244231231).

Subtracting from 11111122120120 its reverse (2102122111111), we obtain a palindrome (9009000009009).

The spelling of 11111122120120 in words is "eleven trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".