11052120 has 64 divisors (see below), whose sum is σ = 34237440. Its totient is φ = 2851200.

The previous prime is 11052113. The next prime is 11052131. The reversal of 11052120 is 2125011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11052096 and 11052105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235 + ... + 5205.

It is an arithmetic number, because the mean of its divisors is an integer number (534960).

Almost surely, 2^11052120 is an apocalyptic number.

11052120 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 11052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118720).

11052120 is an abundant number, since it is smaller than the sum of its proper divisors (23185320).

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

11052120 is a wasteful number, since it uses less digits than its factorization.

11052120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11052120 is about 3324.4728905497. The cubic root of 11052120 is about 222.7487098118.

Adding to 11052120 its reverse (2125011), we get a palindrome (13177131).

The spelling of 11052120 in words is "eleven million, fifty-two thousand, one hundred twenty".