11611120 has 20 divisors (see below), whose sum is σ = 26996040. Its totient is φ = 4644416.

The previous prime is 11611097. The next prime is 11611121. The reversal of 11611120 is 2111611.

11611120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 11611120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11611121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72490 + ... + 72649.

It is an arithmetic number, because the mean of its divisors is an integer number (1349802).

Almost surely, 2^11611120 is an apocalyptic number.

11611120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11611120 is an abundant number, since it is smaller than the sum of its proper divisors (15384920).

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

11611120 is a wasteful number, since it uses less digits than its factorization.

11611120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145152 (or 145146 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 11611120 is about 3407.5093543525. The cubic root of 11611120 is about 226.4425504894.

Adding to 11611120 its reverse (2111611), we get a palindrome (13722731).

It can be divided in two parts, 116 and 11120, that added together give a square (11236 = 106²).

The spelling of 11611120 in words is "eleven million, six hundred eleven thousand, one hundred twenty".