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12256126011 = 33453930593
BaseRepresentation
bin10110110101000010…
…11010010000111011
31011122011001201012000
423122201122100323
5200100032013021
65344055152043
7612501231543
oct133241322073
934564051160
1012256126011
11521a299968
122460675623
13120424068c
14843a50323
154baeb4b26
hex2da85a43b

12256126011 has 8 divisors (see below), whose sum is σ = 18157223760. Its totient is φ = 8170750656.

The previous prime is 12256125953. The next prime is 12256126019. The reversal of 12256126011 is 11062165221.

12256126011 is a `hidden beast` number, since 1 + 2 + 2 + 56 + 1 + 2 + 601 + 1 = 666.

12256126011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12256126011 - 214 = 12256109627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 453930593 = 12256126011 / (1 + 2 + 2 + 5 + 6 + 1 + 2 + 6 + 0 + 1 + 1).

It is not an unprimeable number, because it can be changed into a prime (12256126019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226965270 + ... + 226965323.

It is an arithmetic number, because the mean of its divisors is an integer number (2269652970).

Almost surely, 212256126011 is an apocalyptic number.

12256126011 is a deficient number, since it is larger than the sum of its proper divisors (5901097749).

12256126011 is an equidigital number, since it uses as much as digits as its factorization.

12256126011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453930602 (or 453930596 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12256126011 in words is "twelve billion, two hundred fifty-six million, one hundred twenty-six thousand, eleven".

Divisors: 1 3 9 27 453930593 1361791779 4085375337 12256126011