11805120 has 84 divisors (see below), whose sum is σ = 40614600. Its totient is φ = 3147264.

The previous prime is 11805119. The next prime is 11805127. The reversal of 11805120 is 2150811.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11805093 and 11805102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11805127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 831 + ... + 4929.

Almost surely, 2^11805120 is an apocalyptic number.

11805120 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 11805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307300).

11805120 is an abundant number, since it is smaller than the sum of its proper divisors (28809480).

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

11805120 is a wasteful number, since it uses less digits than its factorization.

11805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 11805120 is about 3435.8579714534. The cubic root of 11805120 is about 227.6967343823.

Adding to 11805120 its reverse (2150811), we get a palindrome (13955931).

The spelling of 11805120 in words is "eleven million, eight hundred five thousand, one hundred twenty".