11081120 has 24 divisors (see below), whose sum is σ = 26179524. Its totient is φ = 4432384.

The previous prime is 11081117. The next prime is 11081129. The reversal of 11081120 is 2118011.

It can be written as a sum of positive squares in 2 ways, for example, as 10995856 + 85264 = 3316^2 + 292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11081095 and 11081104.

It is not an unprimeable number, because it can be changed into a prime (11081129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34469 + ... + 34788.

Almost surely, 2^11081120 is an apocalyptic number.

11081120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11081120 is an abundant number, since it is smaller than the sum of its proper divisors (15098404).

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

11081120 is an equidigital number, since it uses as much as digits as its factorization.

11081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69272 (or 69264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 11081120 is about 3328.8316268625. The cubic root of 11081120 is about 222.9433654030.

Adding to 11081120 its reverse (2118011), we get a palindrome (13199131).

It can be divided in two parts, 110 and 81120, that multiplied together give a triangular number (8923200 = T₄₂₂₄).

The spelling of 11081120 in words is "eleven million, eighty-one thousand, one hundred twenty".