120559104 has 280 divisors, whose sum is σ = 402530040. Its totient is φ = 35831808.

The previous prime is 120559097. The next prime is 120559141. The reversal of 120559104 is 401955021.

120559104 = 184³ + 185³ + ... + 200³.

120559104 is a `hidden beast` number, since 1 + 2 + 0 + 559 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6345207 + ... + 6345225.

Almost surely, 2^120559104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201265020).

120559104 is an abundant number, since it is smaller than the sum of its proper divisors (281970936).

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

120559104 is an frugal number, since it uses more digits than its factorization.

120559104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 120559104 is about 10979.9409834480. The cubic root of 120559104 is about 494.0072665805.

The spelling of 120559104 in words is "one hundred twenty million, five hundred fifty-nine thousand, one hundred four".