Search a number
-
+
122122112201 is a prime number
BaseRepresentation
bin111000110111100001…
…0111000110011001001
3102200012220022002011122
41301233002320303021
54000101230042301
6132034020405025
711552204553305
oct1615702706311
9380186262148
10122122112201
1147878826461
121b802546775
13b692a47b6b
145ca710ad05
15329b43981b
hex1c6f0b8cc9

122122112201 has 2 divisors, whose sum is σ = 122122112202. Its totient is φ = 122122112200.

The previous prime is 122122112183. The next prime is 122122112207. The reversal of 122122112201 is 102211221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84747943225 + 37374168976 = 291115^2 + 193324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122122112201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122122112201.

It is not a weakly prime, because it can be changed into another prime (122122112207) 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, 61061056100 + 61061056101.

It is an arithmetic number, because the mean of its divisors is an integer number (61061056101).

Almost surely, 2122122112201 is an apocalyptic number.

It is an amenable number.

122122112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122112201 is an equidigital number, since it uses as much as digits as its factorization.

122122112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122122112201 its reverse (102211221221), we get a palindrome (224333333422).

The spelling of 122122112201 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred one".