Search a number
-
+
12201210022097 is a prime number
BaseRepresentation
bin1011000110001101000011…
…0010100000100011010001
31121012102110022020021120002
42301203100302200203101
53044401034231201342
641541054123055345
72366336233665515
oct261432062404321
947172408207502
1012201210022097
11398455aa77568
121450814671555
136a6752601b65
1430278267c145
151625ac70ed32
hexb18d0ca08d1

12201210022097 has 2 divisors, whose sum is σ = 12201210022098. Its totient is φ = 12201210022096.

The previous prime is 12201210022069. The next prime is 12201210022123. The reversal of 12201210022097 is 79022001210221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6912056388241 + 5289153633856 = 2629079^2 + 2299816^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201210022097 - 222 = 12201205827793 is a prime.

It is not a weakly prime, because it can be changed into another prime (12201210022007) 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 as a sum of consecutive naturals, namely, 6100605011048 + 6100605011049.

It is an arithmetic number, because the mean of its divisors is an integer number (6100605011049).

Almost surely, 212201210022097 is an apocalyptic number.

It is an amenable number.

12201210022097 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201210022097 is an equidigital number, since it uses as much as digits as its factorization.

12201210022097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 12201210022097 in words is "twelve trillion, two hundred one billion, two hundred ten million, twenty-two thousand, ninety-seven".