11135120 has 40 divisors (see below), whose sum is σ = 26066040. Its totient is φ = 4423680.

The previous prime is 11135093. The next prime is 11135161. The reversal of 11135120 is 2153111.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 11075584 = 244^2 + 3328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11135095 and 11135104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14096 + ... + 14864.

It is an arithmetic number, because the mean of its divisors is an integer number (651651).

Almost surely, 2^11135120 is an apocalyptic number.

11135120 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 11135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033020).

11135120 is an abundant number, since it is smaller than the sum of its proper divisors (14930920).

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

11135120 is a wasteful number, since it uses less digits than its factorization.

11135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 11135120 is about 3336.9327233254. The cubic root of 11135120 is about 223.3049244823.

Adding to 11135120 its reverse (2153111), we get a palindrome (13288231).

Subtracting from 11135120 its reverse (2153111), we obtain a square (8982009 = 2997²).

The spelling of 11135120 in words is "eleven million, one hundred thirty-five thousand, one hundred twenty".