Search a number
-
+
12111120010973 is a prime number
BaseRepresentation
bin1011000000111101011100…
…0000011000111011011101
31120212210220202222112101102
42300033113000120323131
53041412033210322343
641431434405322445
72356666562352044
oct260172700307335
946783822875342
1012111120010973
11394a32a567815
121437271706425
1369b0c5c55879
142dc27782d55b
151600885033b8
hexb03d7018edd

12111120010973 has 2 divisors, whose sum is σ = 12111120010974. Its totient is φ = 12111120010972.

The previous prime is 12111120010961. The next prime is 12111120011033. The reversal of 12111120010973 is 37901002111121.

12111120010973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7664913399364 + 4446206611609 = 2768558^2 + 2108603^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111120010973 - 236 = 12042400534237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111120030973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055560005486 + 6055560005487.

It is an arithmetic number, because the mean of its divisors is an integer number (6055560005487).

Almost surely, 212111120010973 is an apocalyptic number.

It is an amenable number.

12111120010973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111120010973 is an equidigital number, since it uses as much as digits as its factorization.

12111120010973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 29.

The spelling of 12111120010973 in words is "twelve trillion, one hundred eleven billion, one hundred twenty million, ten thousand, nine hundred seventy-three".