120253305 has 16 divisors (see below), whose sum is σ = 194725440. Its totient is φ = 63361728.

The previous prime is 120253303. The next prime is 120253319. The reversal of 120253305 is 503352021.

It is not a de Polignac number, because 120253305 - 2¹ = 120253303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120253303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47050 + ... + 49539.

It is an arithmetic number, because the mean of its divisors is an integer number (12170340).

Almost surely, 2^120253305 is an apocalyptic number.

120253305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120253305 is a deficient number, since it is larger than the sum of its proper divisors (74472135).

120253305 is an equidigital number, since it uses as much as digits as its factorization.

120253305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96680.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 120253305 is about 10966.0067937240. The cubic root of 120253305 is about 493.5892286478.

The spelling of 120253305 in words is "one hundred twenty million, two hundred fifty-three thousand, three hundred five".