11385120 has 48 divisors (see below), whose sum is σ = 35864640. Its totient is φ = 3035904.

The previous prime is 11385119. The next prime is 11385131. The reversal of 11385120 is 2158311.

It is a tau number, because it is divible by the number of its divisors (48).

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, 11380 + ... + 12339.

It is an arithmetic number, because the mean of its divisors is an integer number (747180).

Almost surely, 2^11385120 is an apocalyptic number.

11385120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11385120 is an abundant number, since it is smaller than the sum of its proper divisors (24479520).

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

11385120 is a wasteful number, since it uses less digits than its factorization.

11385120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23737 (or 23729 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11385120 is about 3374.1843458827. The cubic root of 11385120 is about 224.9637472456.

The spelling of 11385120 in words is "eleven million, three hundred eighty-five thousand, one hundred twenty".