Search a number
-
+
12122112010291 is a prime number
BaseRepresentation
bin1011000001100110011000…
…1011100010100000110011
31120220212021211100221202021
42300121212023202200303
53042102041133312131
641440453230132311
72360536143663223
oct260314613424063
946825254327667
1012122112010291
113953a60230578
12143941a951097
1369c15830b68a
142dc9db61a083
151604cd511e11
hexb06662e2833

12122112010291 has 2 divisors, whose sum is σ = 12122112010292. Its totient is φ = 12122112010290.

The previous prime is 12122112010277. The next prime is 12122112010361. The reversal of 12122112010291 is 19201021122121.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12122112010291 - 217 = 12122111879219 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122112010691) 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, 6061056005145 + 6061056005146.

It is an arithmetic number, because the mean of its divisors is an integer number (6061056005146).

Almost surely, 212122112010291 is an apocalyptic number.

12122112010291 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122112010291 is an equidigital number, since it uses as much as digits as its factorization.

12122112010291 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 25.

The spelling of 12122112010291 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, ten thousand, two hundred ninety-one".