11561120 has 48 divisors (see below), whose sum is σ = 28758240. Its totient is φ = 4379904.

The previous prime is 11561117. The next prime is 11561159. The reversal of 11561120 is 2116511.

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, 1139 + ... + 4941.

It is an arithmetic number, because the mean of its divisors is an integer number (599130).

Almost surely, 2^11561120 is an apocalyptic number.

11561120 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 11561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379120).

11561120 is an abundant number, since it is smaller than the sum of its proper divisors (17197120).

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

11561120 is a wasteful number, since it uses less digits than its factorization.

11561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 11561120 is about 3400.1647018931. The cubic root of 11561120 is about 226.1170459053.

Adding to 11561120 its reverse (2116511), we get a palindrome (13677631).

The spelling of 11561120 in words is "eleven million, five hundred sixty-one thousand, one hundred twenty".