11859120 has 240 divisors, whose sum is σ = 49288512. Its totient is φ = 2488320.

The previous prime is 11859109. The next prime is 11859137. The reversal of 11859120 is 2195811.

11859120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65430 + ... + 65610.

Almost surely, 2^11859120 is an apocalyptic number.

11859120 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 11859120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24644256).

11859120 is an abundant number, since it is smaller than the sum of its proper divisors (37429392).

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

11859120 is a wasteful number, since it uses less digits than its factorization.

11859120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11859120 is about 3443.7073046355. The cubic root of 11859120 is about 228.0433897108.

11859120 divided by its product of nonzero digits (720) gives a triangular number (16471 = T₁₈₁).

The spelling of 11859120 in words is "eleven million, eight hundred fifty-nine thousand, one hundred twenty".