11827120 has 80 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 4320000.

The previous prime is 11827111. The next prime is 11827133. The reversal of 11827120 is 2172811.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11827091 and 11827100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46995 + ... + 47245.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^11827120 is an apocalyptic number.

11827120 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 11827120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

11827120 is an abundant number, since it is smaller than the sum of its proper divisors (18170960).

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

11827120 is a wasteful number, since it uses less digits than its factorization.

11827120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 11827120 is about 3439.0580105604. The cubic root of 11827120 is about 227.8380916799.

Adding to 11827120 its reverse (2172811), we get a palindrome (13999931).

The spelling of 11827120 in words is "eleven million, eight hundred twenty-seven thousand, one hundred twenty".