Search a number
122201 is a prime number
BaseRepresentation
bin11101110101011001
320012121222
4131311121
512402301
62341425
71016162
oct356531
9205558
10122201
11838a2
125a875
1343811
1432769
152631b
hex1dd59

122201 has 2 divisors, whose sum is σ = 122202. Its totient is φ = 122200.

The previous prime is 122173. The next prime is 122203. The reversal of 122201 is 102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121801 + 400 = 349^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201 - 214 = 105817 is a prime.

It is a Sophie Germain prime.

Together with 122203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100 + 61101.

It is an arithmetic number, because the mean of its divisors is an integer number (61101).

2122201 is an apocalyptic number.

It is an amenable number.

122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201 is an equidigital number, since it uses as much as digits as its factorization.

122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 122201 is about 349.5725961800. The cubic root of 122201 is about 49.6239792568.

Adding to 122201 its reverse (102221), we get a palindrome (224422).

It can be divided in two parts, 12220 and 1, that added together give a palindrome (12221).

The spelling of 122201 in words is "one hundred twenty-two thousand, two hundred one", and thus it is an iban number.