11816120 has 32 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 4654848.

The previous prime is 11816111. The next prime is 11816131. The reversal of 11816120 is 2161811.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11816092 and 11816101.

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 7 ways as a sum of consecutive naturals, for example, 476 + ... + 4884.

Almost surely, 2^11816120 is an apocalyptic number.

11816120 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 11816120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

11816120 is an abundant number, since it is smaller than the sum of its proper divisors (15173080).

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

11816120 is a wasteful number, since it uses less digits than its factorization.

11816120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 11816120 is about 3437.4583633842. The cubic root of 11816120 is about 227.7674349634.

Adding to 11816120 its reverse (2161811), we get a palindrome (13977931).

The spelling of 11816120 in words is "eleven million, eight hundred sixteen thousand, one hundred twenty".