11122211110120 has 256 divisors, whose sum is σ = 29086840281600. Its totient is φ = 3782741852160.

The previous prime is 11122211110039. The next prime is 11122211110123. The reversal of 11122211110120 is 2101111222111.

It is a junction number, because it is equal to n+sod(n) for n = 11122211110094 and 11122211110103.

It is not an unprimeable number, because it can be changed into a prime (11122211110123) 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, 1543247557 + ... + 1543254763.

It is an arithmetic number, because the mean of its divisors is an integer number (113620469850).

Almost surely, 2^{11122211110120} is an apocalyptic number.

11122211110120 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 11122211110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543420140800).

11122211110120 is an abundant number, since it is smaller than the sum of its proper divisors (17964629171480).

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

11122211110120 is a wasteful number, since it uses less digits than its factorization.

11122211110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508 (or 8504 counting only the distinct ones).

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

Adding to 11122211110120 its reverse (2101111222111), we get a palindrome (13223322332231).

The spelling of 11122211110120 in words is "eleven trillion, one hundred twenty-two billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".