Search a number
-
+
12110012121149 is a prime number
BaseRepresentation
bin1011000000111001010011…
…1110001000000000111101
31120212201001120021220020222
42300032110332020000331
53041402301100334044
641431132431351125
72356630250425415
oct260162476100075
946781046256228
1012110012121149
113949911153798
1214370026824a5
1369ac7a571967
142dc1b0639645
1516002110e8ee
hexb0394f8803d

12110012121149 has 2 divisors, whose sum is σ = 12110012121150. Its totient is φ = 12110012121148.

The previous prime is 12110012121127. The next prime is 12110012121217. The reversal of 12110012121149 is 94112121001121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8194192502500 + 3915819618649 = 2862550^2 + 1978843^2 .

It is a cyclic number.

It is not a de Polignac number, because 12110012121149 - 228 = 12109743685693 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12110012123149) 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, 6055006060574 + 6055006060575.

It is an arithmetic number, because the mean of its divisors is an integer number (6055006060575).

Almost surely, 212110012121149 is an apocalyptic number.

It is an amenable number.

12110012121149 is a deficient number, since it is larger than the sum of its proper divisors (1).

12110012121149 is an equidigital number, since it uses as much as digits as its factorization.

12110012121149 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 26.

The spelling of 12110012121149 in words is "twelve trillion, one hundred ten billion, twelve million, one hundred twenty-one thousand, one hundred forty-nine".