412333431112201 has 2 divisors, whose sum is σ = 412333431112202. Its totient is φ = 412333431112200.

The previous prime is 412333431112171. The next prime is 412333431112217. The reversal of 412333431112201 is 102211134333214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361405954062400 + 50927477049801 = 19010680^2 + 7136349^2 .

It is a cyclic number.

It is not a de Polignac number, because 412333431112201 - 2³³ = 412324841177609 is a prime.

It is not a weakly prime, because it can be changed into another prime (412333431112231) 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 as a sum of consecutive naturals, namely, 206166715556100 + 206166715556101.

It is an arithmetic number, because the mean of its divisors is an integer number (206166715556101).

Almost surely, 2^{412333431112201} is an apocalyptic number.

It is an amenable number.

412333431112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

412333431112201 is an equidigital number, since it uses as much as digits as its factorization.

412333431112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 412333431112201 its reverse (102211134333214), we get a palindrome (514544565445415).

The spelling of 412333431112201 in words is "four hundred twelve trillion, three hundred thirty-three billion, four hundred thirty-one million, one hundred twelve thousand, two hundred one".