11161120 has 48 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 4402944.

The previous prime is 11161097. The next prime is 11161127. The reversal of 11161120 is 2116111.

It is a self number, because there is not a number n which added to its sum of digits gives 11161120.

It is not an unprimeable number, because it can be changed into a prime (11161127) 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, 12199 + ... + 13081.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 2^11161120 is an apocalyptic number.

11161120 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 11161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

11161120 is an abundant number, since it is smaller than the sum of its proper divisors (15571040).

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

11161120 is an equidigital number, since it uses as much as digits as its factorization.

11161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

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

The square root of 11161120 is about 3340.8262451076. The cubic root of 11161120 is about 223.4785916731.

Adding to 11161120 its reverse (2116111), we get a palindrome (13277231).

The spelling of 11161120 in words is "eleven million, one hundred sixty-one thousand, one hundred twenty".