120306 has 8 divisors (see below), whose sum is σ = 240624. Its totient is φ = 40100.

The previous prime is 120299. The next prime is 120319. The reversal of 120306 is 603021.

It is a sphenic number, since it is the product of 3 distinct primes.

120306 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 120291 and 120300.

It is an unprimeable number.

120306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10020 + ... + 10031.

It is an arithmetic number, because the mean of its divisors is an integer number (30078).

2¹²⁰³⁰⁶ is an apocalyptic number.

120306 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

120306 is a wasteful number, since it uses less digits than its factorization.

120306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20056.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 120306 is about 346.8515532616. The cubic root of 120306 is about 49.3661315055.

Adding to 120306 its reverse (603021), we get a palindrome (723327).

The spelling of 120306 in words is "one hundred twenty thousand, three hundred six".