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122209 is a prime number
BaseRepresentation
bin11101110101100001
320012122021
4131311201
512402314
62341441
71016203
oct356541
9205567
10122209
11838aa
125a881
1343819
1432773
1526324
hex1dd61

122209 has 2 divisors, whose sum is σ = 122210. Its totient is φ = 122208.

The previous prime is 122207. The next prime is 122219. The reversal of 122209 is 902221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70225 + 51984 = 265^2 + 228^2 .

It is a cyclic number.

It is not a de Polignac number, because 122209 - 21 = 122207 is a prime.

Together with 122207, it forms a pair of twin primes.

122209 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 122192 and 122201.

It is not a weakly prime, because it can be changed into another prime (122201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61104 + 61105.

It is an arithmetic number, because the mean of its divisors is an integer number (61105).

2122209 is an apocalyptic number.

It is an amenable number.

122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

122209 is an equidigital number, since it uses as much as digits as its factorization.

122209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 122209 is about 349.5840385372. The cubic root of 122209 is about 49.6250621262.

The spelling of 122209 in words is "one hundred twenty-two thousand, two hundred nine".