123201305 has 8 divisors (see below), whose sum is σ = 151837512. Its totient is φ = 95897088.

The previous prime is 123201293. The next prime is 123201307. The reversal of 123201305 is 503102321.

It can be written as a sum of positive squares in 4 ways, for example, as 13601344 + 109599961 = 3688^2 + 10469^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 123201305 - 2⁴ = 123201289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123201307) 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 7 ways as a sum of consecutive naturals, for example, 332792 + ... + 333161.

It is an arithmetic number, because the mean of its divisors is an integer number (18979689).

Almost surely, 2^123201305 is an apocalyptic number.

It is an amenable number.

123201305 is a deficient number, since it is larger than the sum of its proper divisors (28636207).

123201305 is an equidigital number, since it uses as much as digits as its factorization.

123201305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665995.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 123201305 is about 11099.6083264231. The cubic root of 123201305 is about 497.5901438467.

Adding to 123201305 its reverse (503102321), we get a palindrome (626303626).

The spelling of 123201305 in words is "one hundred twenty-three million, two hundred one thousand, three hundred five".