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122212400201 is a prime number
BaseRepresentation
bin111000111010001101…
…1010011110001001001
3102200110012012012000122
41301310123103301021
54000242333301301
6132051003513025
711554352155523
oct1616433236111
9380405165018
10122212400201
1147914794141
121b828828775
13b6a866ac08
145cb50d0a13
1532a432181b
hex1c746d3c49

122212400201 has 2 divisors, whose sum is σ = 122212400202. Its totient is φ = 122212400200.

The previous prime is 122212400161. The next prime is 122212400227. The reversal of 122212400201 is 102004212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120184248976 + 2028151225 = 346676^2 + 45035^2 .

It is a cyclic number.

It is not a de Polignac number, because 122212400201 - 26 = 122212400137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122212400201.

It is not a weakly prime, because it can be changed into another prime (122212400501) 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, 61106200100 + 61106200101.

It is an arithmetic number, because the mean of its divisors is an integer number (61106200101).

Almost surely, 2122212400201 is an apocalyptic number.

It is an amenable number.

122212400201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212400201 is an equidigital number, since it uses as much as digits as its factorization.

122212400201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 122212400201 its reverse (102004212221), we get a palindrome (224216612422).

The spelling of 122212400201 in words is "one hundred twenty-two billion, two hundred twelve million, four hundred thousand, two hundred one".