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12111201022181 is a prime number
BaseRepresentation
bin1011000000111101101111…
…0101011011000011100101
31120212211010102102022212112
42300033123311123003211
53041412214430202211
641431450421530405
72360001565056242
oct260173365330345
946784112368775
1012111201022181
11394a371269728
121437294873a05
1369b10997b2b1
142dc2844ba5c9
151600906a688b
hexb03dbd5b0e5

12111201022181 has 2 divisors, whose sum is σ = 12111201022182. Its totient is φ = 12111201022180.

The previous prime is 12111201022159. The next prime is 12111201022229. The reversal of 12111201022181 is 18122010211121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9635405769025 + 2475795253156 = 3104095^2 + 1573466^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12111201022181 is a prime.

It is a super-2 number, since 2×121112010221812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111201027181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055600511090 + 6055600511091.

It is an arithmetic number, because the mean of its divisors is an integer number (6055600511091).

Almost surely, 212111201022181 is an apocalyptic number.

It is an amenable number.

12111201022181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111201022181 is an equidigital number, since it uses as much as digits as its factorization.

12111201022181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 23.

The spelling of 12111201022181 in words is "twelve trillion, one hundred eleven billion, two hundred one million, twenty-two thousand, one hundred eighty-one".