120559360 has 72 divisors (see below), whose sum is σ = 292054896. Its totient is φ = 47677440.

The previous prime is 120559343. The next prime is 120559367. The reversal of 120559360 is 63955021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120559367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 123675 + ... + 124645.

It is an arithmetic number, because the mean of its divisors is an integer number (4056318).

Almost surely, 2^120559360 is an apocalyptic number.

120559360 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 120559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146027448).

120559360 is an abundant number, since it is smaller than the sum of its proper divisors (171495536).

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

120559360 is an frugal number, since it uses more digits than its factorization.

120559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 120559360 is about 10979.9526410636. The cubic root of 120559360 is about 494.0076162452.

The spelling of 120559360 in words is "one hundred twenty million, five hundred fifty-nine thousand, three hundred sixty".