Search a number
-
+
12201111121141 is a prime number
BaseRepresentation
bin1011000110001100101011…
…1001001110110011110101
31121012102012102010120221201
42301203022321032303311
53044400333421334031
641541040231212501
72366333623231525
oct261431271166365
947172172116851
1012201111121141
11398450a166838
1214507a7517131
136a6737c84697
14302773495685
151625a3bc5d61
hexb18cae4ecf5

12201111121141 has 2 divisors, whose sum is σ = 12201111121142. Its totient is φ = 12201111121140.

The previous prime is 12201111121099. The next prime is 12201111121153. The reversal of 12201111121141 is 14112111110221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12064854902500 + 136256218641 = 3473450^2 + 369129^2 .

It is an emirp because it is prime and its reverse (14112111110221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12201111121141 - 217 = 12201110990069 is a prime.

It is a super-2 number, since 2×122011111211412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201111131141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100555560570 + 6100555560571.

It is an arithmetic number, because the mean of its divisors is an integer number (6100555560571).

Almost surely, 212201111121141 is an apocalyptic number.

It is an amenable number.

12201111121141 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201111121141 is an equidigital number, since it uses as much as digits as its factorization.

12201111121141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 12201111121141 its reverse (14112111110221), we get a palindrome (26313222231362).

The spelling of 12201111121141 in words is "twelve trillion, two hundred one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred forty-one".