120205305 has 48 divisors (see below), whose sum is σ = 239279040. Its totient is φ = 55209600.

The previous prime is 120205297. The next prime is 120205313. The reversal of 120205305 is 503502021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120205297) and next prime (120205313).

It is not a de Polignac number, because 120205305 - 2³ = 120205297 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3015 + ... + 15795.

It is an arithmetic number, because the mean of its divisors is an integer number (4984980).

Almost surely, 2^120205305 is an apocalyptic number.

120205305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120205305 is a deficient number, since it is larger than the sum of its proper divisors (119073735).

120205305 is a wasteful number, since it uses less digits than its factorization.

120205305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12822 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 120205305 is about 10963.8179937465. The cubic root of 120205305 is about 493.5235466387.

Adding to 120205305 its reverse (503502021), we get a palindrome (623707326).

The spelling of 120205305 in words is "one hundred twenty million, two hundred five thousand, three hundred five".