11352120 has 128 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 2640384.

The previous prime is 11352083. The next prime is 11352151. The reversal of 11352120 is 2125311.

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 11352120.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 29449 + ... + 29831.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^11352120 is an apocalyptic number.

11352120 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 11352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

11352120 is an abundant number, since it is smaller than the sum of its proper divisors (27355080).

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

11352120 is a wasteful number, since it uses less digits than its factorization.

11352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11352120 is about 3369.2907265477. The cubic root of 11352120 is about 224.7461829185.

Adding to 11352120 its reverse (2125311), we get a palindrome (13477431).

The spelling of 11352120 in words is "eleven million, three hundred fifty-two thousand, one hundred twenty".