11789120 has 112 divisors (see below), whose sum is σ = 33893760. Its totient is φ = 3815424.

The previous prime is 11789081. The next prime is 11789131. The reversal of 11789120 is 2198711.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 42422 + ... + 42698.

Almost surely, 2^11789120 is an apocalyptic number.

11789120 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 11789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946880).

11789120 is an abundant number, since it is smaller than the sum of its proper divisors (22104640).

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

11789120 is a wasteful number, since it uses less digits than its factorization.

11789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 11789120 is about 3433.5287970250. The cubic root of 11789120 is about 227.5938187294.

The spelling of 11789120 in words is "eleven million, seven hundred eighty-nine thousand, one hundred twenty".