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12111229201121 is a prime number
BaseRepresentation
bin1011000000111101110110…
…0000111010101011100001
31120212211012101102222002222
42300033131200322223201
53041412244133413441
641431453305520425
72360002356431501
oct260173540725341
946784171388088
1012111229201121
11394a386165a06
1214372a21a3115
1369b11276641b
142dc288133a01
15160092dc0d4b
hexb03dd83aae1

12111229201121 has 2 divisors, whose sum is σ = 12111229201122. Its totient is φ = 12111229201120.

The previous prime is 12111229201103. The next prime is 12111229201199. The reversal of 12111229201121 is 12110292211121.

12111229201121 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., 11812281610000 + 298947591121 = 3436900^2 + 546761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12111229201121 is a prime.

It is not a weakly prime, because it can be changed into another prime (12111229200121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055614600560 + 6055614600561.

It is an arithmetic number, because the mean of its divisors is an integer number (6055614600561).

Almost surely, 212111229201121 is an apocalyptic number.

It is an amenable number.

12111229201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111229201121 is an equidigital number, since it uses as much as digits as its factorization.

12111229201121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 12111229201121 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-nine million, two hundred one thousand, one hundred twenty-one".