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12205066057 is a prime number
BaseRepresentation
bin10110101110111101…
…01000011101001001
31011111120222121002121
423113132220131021
5144443444103212
65335032531241
7611311230652
oct132736503511
934446877077
1012205066057
1151a3494858
122447550b21
1311c67a39a2
1483ad5c529
154b677ad07
hex2d77a8749

12205066057 has 2 divisors, whose sum is σ = 12205066058. Its totient is φ = 12205066056.

The previous prime is 12205065913. The next prime is 12205066103. The reversal of 12205066057 is 75066050221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9142993161 + 3062072896 = 95619^2 + 55336^2 .

It is a cyclic number.

It is not a de Polignac number, because 12205066057 - 211 = 12205064009 is a prime.

It is a super-3 number, since 3×122050660573 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12205066957) 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, 6102533028 + 6102533029.

It is an arithmetic number, because the mean of its divisors is an integer number (6102533029).

Almost surely, 212205066057 is an apocalyptic number.

It is an amenable number.

12205066057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12205066057 is an equidigital number, since it uses as much as digits as its factorization.

12205066057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 12205066057 in words is "twelve billion, two hundred five million, sixty-six thousand, fifty-seven".