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12168224177 is a prime number
BaseRepresentation
bin10110101010100100…
…00101110110110001
31011102000122211112112
423111102011312301
5144410031133202
65331235135105
7610353125144
oct132522056661
934360584475
1012168224177
115184710a1a
122437144495
1311bbc74765
148360cc05b
154b33eeb52
hex2d5485db1

12168224177 has 2 divisors, whose sum is σ = 12168224178. Its totient is φ = 12168224176.

The previous prime is 12168224143. The next prime is 12168224179. The reversal of 12168224177 is 77142286121.

12168224177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9825567376 + 2342656801 = 99124^2 + 48401^2 .

It is a cyclic number.

It is not a de Polignac number, because 12168224177 - 210 = 12168223153 is a prime.

Together with 12168224179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12168224179) 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 as a sum of consecutive naturals, namely, 6084112088 + 6084112089.

It is an arithmetic number, because the mean of its divisors is an integer number (6084112089).

Almost surely, 212168224177 is an apocalyptic number.

It is an amenable number.

12168224177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12168224177 is an equidigital number, since it uses as much as digits as its factorization.

12168224177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75264, while the sum is 41.

The spelling of 12168224177 in words is "twelve billion, one hundred sixty-eight million, two hundred twenty-four thousand, one hundred seventy-seven".