11521120 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 4085760.

The previous prime is 11521051. The next prime is 11521187. The reversal of 11521120 is 2112511.

11521120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11521120.

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, 60225 + ... + 60415.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^11521120 is an apocalyptic number.

11521120 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 11521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

11521120 is an abundant number, since it is smaller than the sum of its proper divisors (18960800).

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

11521120 is a wasteful number, since it uses less digits than its factorization.

11521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 11521120 is about 3394.2775372677. The cubic root of 11521120 is about 225.8559658634.

Adding to 11521120 its reverse (2112511), we get a palindrome (13633631).

The spelling of 11521120 in words is "eleven million, five hundred twenty-one thousand, one hundred twenty".