11122120 has 32 divisors (see below), whose sum is σ = 25281720. Its totient is φ = 4403200.

The previous prime is 11122099. The next prime is 11122129. The reversal of 11122120 is 2122111.

11122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11035684 + 86436 = 3322^2 + 294^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11122097 and 11122106.

It is not an unprimeable number, because it can be changed into a prime (11122129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2664 + ... + 5416.

Almost surely, 2^11122120 is an apocalyptic number.

11122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122120 is an abundant number, since it is smaller than the sum of its proper divisors (14159600).

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

11122120 is a wasteful number, since it uses less digits than its factorization.

11122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11122120 is about 3334.9842578339. The cubic root of 11122120 is about 223.2179894974.

Adding to 11122120 its reverse (2122111), we get a palindrome (13244231).

Subtracting from 11122120 its reverse (2122111), we obtain a palindrome (9000009).

The spelling of 11122120 in words is "eleven million, one hundred twenty-two thousand, one hundred twenty".