11120 has 20 divisors (see below), whose sum is σ = 26040. Its totient is φ = 4416.

The previous prime is 11119. The next prime is 11131. The reversal of 11120 is 2111.

11120 = T₂₉ + T₃₀ + ... + T₄₄.

It is a happy number.

11120 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 Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

2¹¹¹²⁰ is an apocalyptic number.

11120 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 11120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020).

11120 is an abundant number, since it is smaller than the sum of its proper divisors (14920).

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

11120 is a wasteful number, since it uses less digits than its factorization.

11120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 11120 is about 105.4514106117. The cubic root of 11120 is about 22.3203805984.

Adding to 11120 its reverse (2111), we get a palindrome (13231).

Subtracting from 11120 its reverse (2111), we obtain a palindrome (9009).

It can be divided in two parts, 111 and 20, that added together give a palindrome (131).

The spelling of 11120 in words is "eleven thousand, one hundred twenty", and thus it is an iban number.