205312201201 has 8 divisors (see below), whose sum is σ = 209424588264. Its totient is φ = 201208650240.

The previous prime is 205312201187. The next prime is 205312201247. The reversal of 205312201201 is 102102213502.

It can be written as a sum of positive squares in 4 ways, for example, as 35404185600 + 169908015601 = 188160^2 + 412199^2 .

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 205312201201 - 2⁵ = 205312201169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205312208201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2162080 + ... + 2255041.

It is an arithmetic number, because the mean of its divisors is an integer number (26178073533).

Almost surely, 2^205312201201 is an apocalyptic number.

It is an amenable number.

205312201201 is a deficient number, since it is larger than the sum of its proper divisors (4112387063).

205312201201 is an equidigital number, since it uses as much as digits as its factorization.

205312201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418051.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 205312201201 its reverse (102102213502), we get a palindrome (307414414703).

The spelling of 205312201201 in words is "two hundred five billion, three hundred twelve million, two hundred one thousand, two hundred one".