120705240 has 64 divisors (see below), whose sum is σ = 366508800. Its totient is φ = 31797632.

The previous prime is 120705229. The next prime is 120705269. The reversal of 120705240 is 42507021.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3901 + ... + 16019.

It is an arithmetic number, because the mean of its divisors is an integer number (5726700).

Almost surely, 2^120705240 is an apocalyptic number.

120705240 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 120705240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183254400).

120705240 is an abundant number, since it is smaller than the sum of its proper divisors (245803560).

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

120705240 is a wasteful number, since it uses less digits than its factorization.

120705240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12216 (or 12212 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 120705240 is about 10986.5936486247. The cubic root of 120705240 is about 494.2067900060.

The spelling of 120705240 in words is "one hundred twenty million, seven hundred five thousand, two hundred forty".