11209120 has 96 divisors (see below), whose sum is σ = 30291408. Its totient is φ = 3883008.

The previous prime is 11209097. The next prime is 11209123. The reversal of 11209120 is 2190211.

It can be written as a sum of positive squares in 8 ways, for example, as 1648656 + 9560464 = 1284^2 + 3092^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11209094 and 11209103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11209123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35202 + ... + 35518.

Almost surely, 2^11209120 is an apocalyptic number.

11209120 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 11209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145704).

11209120 is an abundant number, since it is smaller than the sum of its proper divisors (19082288).

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

11209120 is a wasteful number, since it uses less digits than its factorization.

11209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 11209120 is about 3348.0023894854. The cubic root of 11209120 is about 223.7985007685.

Subtracting from 11209120 its sum of digits (16), we obtain a square (11209104 = 3348²).

Adding to 11209120 its reverse (2190211), we get a palindrome (13399331).

The spelling of 11209120 in words is "eleven million, two hundred nine thousand, one hundred twenty".