120558240 has 384 divisors, whose sum is σ = 479001600. Its totient is φ = 28062720.

The previous prime is 120558239. The next prime is 120558241. The reversal of 120558240 is 42855021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120558239) and next prime (120558241).

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

It is not an unprimeable number, because it can be changed into a prime (120558241) 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 63 ways as a sum of consecutive naturals, for example, 2043331 + ... + 2043389.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 2^120558240 is an apocalyptic number.

120558240 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 120558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

120558240 is an abundant number, since it is smaller than the sum of its proper divisors (358443360).

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

120558240 is a wasteful number, since it uses less digits than its factorization.

120558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 120558240 is about 10979.9016389037. The cubic root of 120558240 is about 494.0060864587.

The spelling of 120558240 in words is "one hundred twenty million, five hundred fifty-eight thousand, two hundred forty".