Search a number
-
+
122212123301 is a prime number
BaseRepresentation
bin111000111010001101…
…0010000001010100101
3102200110011200010012002
41301310122100022211
54000242300421201
6132050553535045
711554346623322
oct1616432201245
9380404603162
10122212123301
11479146150a4
121b828714485
13b6a85a1b78
145cb505bb49
1532a42b976b
hex1c746902a5

122212123301 has 2 divisors, whose sum is σ = 122212123302. Its totient is φ = 122212123300.

The previous prime is 122212123199. The next prime is 122212123303. The reversal of 122212123301 is 103321212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72683620801 + 49528502500 = 269599^2 + 222550^2 .

It is an emirp because it is prime and its reverse (103321212221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122212123301 - 214 = 122212106917 is a prime.

Together with 122212123303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122212123303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106061650 + 61106061651.

It is an arithmetic number, because the mean of its divisors is an integer number (61106061651).

Almost surely, 2122212123301 is an apocalyptic number.

It is an amenable number.

122212123301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212123301 is an equidigital number, since it uses as much as digits as its factorization.

122212123301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122212123301 its reverse (103321212221), we get a palindrome (225533335522).

The spelling of 122212123301 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred twenty-three thousand, three hundred one".