Search a number
-
+
121202112209 is a prime number
BaseRepresentation
bin111000011100000110…
…1010111011011010001
3102120211210011020102212
41300320031113123101
53441210220042314
6131402433521505
711520333645503
oct1607015273321
9376753136385
10121202112209
1147446483892
121b5a6413295
13b57726b079
145c1ac65d73
1532457abe3e
hex1c383576d1

121202112209 has 2 divisors, whose sum is σ = 121202112210. Its totient is φ = 121202112208.

The previous prime is 121202112193. The next prime is 121202112223. The reversal of 121202112209 is 902211202121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67718611984 + 53483500225 = 260228^2 + 231265^2 .

It is a cyclic number.

It is not a de Polignac number, because 121202112209 - 24 = 121202112193 is a prime.

It is a super-3 number, since 3×1212021122093 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (121201112209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60601056104 + 60601056105.

It is an arithmetic number, because the mean of its divisors is an integer number (60601056105).

Almost surely, 2121202112209 is an apocalyptic number.

It is an amenable number.

121202112209 is a deficient number, since it is larger than the sum of its proper divisors (1).

121202112209 is an equidigital number, since it uses as much as digits as its factorization.

121202112209 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 121202112209 in words is "one hundred twenty-one billion, two hundred two million, one hundred twelve thousand, two hundred nine".