11550120 has 64 divisors (see below), whose sum is σ = 35856000. Its totient is φ = 2972928.

The previous prime is 11550113. The next prime is 11550137. The reversal of 11550120 is 2105511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11550120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821 + ... + 5139.

It is an arithmetic number, because the mean of its divisors is an integer number (560250).

Almost surely, 2^11550120 is an apocalyptic number.

11550120 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 11550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17928000).

11550120 is an abundant number, since it is smaller than the sum of its proper divisors (24305880).

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

11550120 is a wasteful number, since it uses less digits than its factorization.

11550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 11550120 is about 3398.5467482440. The cubic root of 11550120 is about 226.0453090038.

Adding to 11550120 its reverse (2105511), we get a palindrome (13655631).

The spelling of 11550120 in words is "eleven million, five hundred fifty thousand, one hundred twenty".