11009120 has 48 divisors (see below), whose sum is σ = 26354160. Its totient is φ = 4345344.

The previous prime is 11009087. The next prime is 11009137. The reversal of 11009120 is 2190011.

It is a junction number, because it is equal to n+sod(n) for n = 11009095 and 11009104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12866 + ... + 13694.

It is an arithmetic number, because the mean of its divisors is an integer number (549045).

Almost surely, 2^11009120 is an apocalyptic number.

11009120 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 11009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177080).

11009120 is an abundant number, since it is smaller than the sum of its proper divisors (15345040).

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

11009120 is an equidigital number, since it uses as much as digits as its factorization.

11009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 11009120 is about 3317.9993972272. Note that the first 3 decimals coincide. The cubic root of 11009120 is about 222.4594548012.

Adding to 11009120 its reverse (2190011), we get a palindrome (13199131).

The spelling of 11009120 in words is "eleven million, nine thousand, one hundred twenty".