Search a number
-
+
122122241 is a prime number
BaseRepresentation
bin1110100011101…
…11000000000001
322111210110012222
413101313000001
5222230402431
620041300425
73012010343
oct721670001
9274713188
10122122241
1162a3127a
1234a94715
131c3baba7
141230d293
15aac457b
hex7477001

122122241 has 2 divisors, whose sum is σ = 122122242. Its totient is φ = 122122240.

The previous prime is 122122181. The next prime is 122122243. The reversal of 122122241 is 142221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114939841 + 7182400 = 10721^2 + 2680^2 .

It is an emirp because it is prime and its reverse (142221221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122122241 - 214 = 122105857 is a prime.

Together with 122122243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122122243) 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, 61061120 + 61061121.

It is an arithmetic number, because the mean of its divisors is an integer number (61061121).

Almost surely, 2122122241 is an apocalyptic number.

It is an amenable number.

122122241 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122241 is an equidigital number, since it uses as much as digits as its factorization.

122122241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 128, while the sum is 17.

The square root of 122122241 is about 11050.8932218170. The cubic root of 122122241 is about 496.1331601914.

Adding to 122122241 its reverse (142221221), we get a palindrome (264343462).

The spelling of 122122241 in words is "one hundred twenty-two million, one hundred twenty-two thousand, two hundred forty-one".