Search a number
-
+
12001110331229 is a prime number
BaseRepresentation
bin1010111010100011100111…
…1010110000111101011101
31120111021222000100202220022
42232220321322300331131
53033111233221044404
641305122312201525
72346023462454545
oct256507172607535
946437860322808
1012001110331229
113907707a06118
121419a8b6992a5
13690913749b06
142d6bdd24a325
1515c29a6478be
hexaea39eb0f5d

12001110331229 has 2 divisors, whose sum is σ = 12001110331230. Its totient is φ = 12001110331228.

The previous prime is 12001110331127. The next prime is 12001110331289. The reversal of 12001110331229 is 92213301110021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10447343095225 + 1553767236004 = 3232235^2 + 1246502^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001110331229 - 232 = 11996815363933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001110331198 and 12001110331207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001110331289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000555165614 + 6000555165615.

It is an arithmetic number, because the mean of its divisors is an integer number (6000555165615).

Almost surely, 212001110331229 is an apocalyptic number.

It is an amenable number.

12001110331229 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001110331229 is an equidigital number, since it uses as much as digits as its factorization.

12001110331229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 12001110331229 in words is "twelve trillion, one billion, one hundred ten million, three hundred thirty-one thousand, two hundred twenty-nine".