11993120 has 48 divisors (see below), whose sum is σ = 29574720. Its totient is φ = 4587264.

The previous prime is 11993119. The next prime is 11993129. The reversal of 11993120 is 2139911.

It is a self number, because there is not a number n which added to its sum of digits gives 11993120.

It is not an unprimeable number, because it can be changed into a prime (11993129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2051 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (616140).

Almost surely, 2^11993120 is an apocalyptic number.

11993120 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 11993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787360).

11993120 is an abundant number, since it is smaller than the sum of its proper divisors (17581600).

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

11993120 is a wasteful number, since it uses less digits than its factorization.

11993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 11993120 is about 3463.1084302978. The cubic root of 11993120 is about 228.8990866241.

It can be divided in two parts, 119 and 93120, that added together give a palindrome (93239).

The spelling of 11993120 in words is "eleven million, nine hundred ninety-three thousand, one hundred twenty".