Search a number
-
+
12001132302221 is a prime number
BaseRepresentation
bin1010111010100011101100…
…1110100100111110001101
31120111022000112201000102202
42232220323032210332031
53033111304332132341
641305124415131245
72346024150303116
oct256507316447615
946438015630382
1012001132302221
113907719352267
121419a96b13b25
136909181703ba
142d6c0212920d
1515c29c53779b
hexaea3b3a4f8d

12001132302221 has 2 divisors, whose sum is σ = 12001132302222. Its totient is φ = 12001132302220.

The previous prime is 12001132302127. The next prime is 12001132302223. The reversal of 12001132302221 is 12220323110021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11068835844196 + 932296458025 = 3326986^2 + 965555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12001132302221 is a prime.

Together with 12001132302223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001132302193 and 12001132302202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001132302223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000566151110 + 6000566151111.

It is an arithmetic number, because the mean of its divisors is an integer number (6000566151111).

Almost surely, 212001132302221 is an apocalyptic number.

It is an amenable number.

12001132302221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001132302221 is an equidigital number, since it uses as much as digits as its factorization.

12001132302221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12001132302221 its reverse (12220323110021), we get a palindrome (24221455412242).

The spelling of 12001132302221 in words is "twelve trillion, one billion, one hundred thirty-two million, three hundred two thousand, two hundred twenty-one".