11132120 has 64 divisors (see below), whose sum is σ = 26244000. Its totient is φ = 4246528.

The previous prime is 11132113. The next prime is 11132123. The reversal of 11132120 is 2123111.

11132120 = T₄₅₅ + T₄₅₆ + ... + T₅₄₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125036 + ... + 125124.

Almost surely, 2^11132120 is an apocalyptic number.

11132120 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 11132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122000).

11132120 is an abundant number, since it is smaller than the sum of its proper divisors (15111880).

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

11132120 is a wasteful number, since it uses less digits than its factorization.

11132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11132120 is about 3336.4831784380. The cubic root of 11132120 is about 223.2848685707.

Adding to 11132120 its reverse (2123111), we get a palindrome (13255231).

Subtracting from 11132120 its reverse (2123111), we obtain a palindrome (9009009).

The spelling of 11132120 in words is "eleven million, one hundred thirty-two thousand, one hundred twenty".