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12111200202209 is a prime number
BaseRepresentation
bin1011000000111101101111…
…0010010010110111100001
31120212211010100212200002012
42300033123302102313201
53041412214222432314
641431450352202305
72360001555102533
oct260173362226741
946784110780065
1012111200202209
11394a370859669
121437294539395
1369b109751cc4
142dc284345853
1516009059393e
hexb03dbc92de1

12111200202209 has 2 divisors, whose sum is σ = 12111200202210. Its totient is φ = 12111200202208.

The previous prime is 12111200202173. The next prime is 12111200202217. The reversal of 12111200202209 is 90220200211121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8042487621184 + 4068712581025 = 2835928^2 + 2017105^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111200202209 - 28 = 12111200201953 is a prime.

It is not a weakly prime, because it can be changed into another prime (12111200202109) 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, 6055600101104 + 6055600101105.

It is an arithmetic number, because the mean of its divisors is an integer number (6055600101105).

Almost surely, 212111200202209 is an apocalyptic number.

It is an amenable number.

12111200202209 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111200202209 is an equidigital number, since it uses as much as digits as its factorization.

12111200202209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12111200202209 in words is "twelve trillion, one hundred eleven billion, two hundred million, two hundred two thousand, two hundred nine".