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12212120177 is a prime number
BaseRepresentation
bin10110101111110011…
…00010101001110001
31011112002020222112022
423113321202221301
5200002300321202
65335444041225
7611425210625
oct132771425161
934462228468
1012212120177
1151a7472704
122449993215
1311c80a371a
1483bc77185
154b71c0ea2
hex2d7e62a71

12212120177 has 2 divisors, whose sum is σ = 12212120178. Its totient is φ = 12212120176.

The previous prime is 12212120159. The next prime is 12212120201. The reversal of 12212120177 is 77102121221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8207635216 + 4004484961 = 90596^2 + 63281^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212120177 - 26 = 12212120113 is a prime.

It is a super-2 number, since 2×122121201772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12212120077) 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, 6106060088 + 6106060089.

It is an arithmetic number, because the mean of its divisors is an integer number (6106060089).

Almost surely, 212212120177 is an apocalyptic number.

It is an amenable number.

12212120177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212120177 is an equidigital number, since it uses as much as digits as its factorization.

12212120177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 26.

Adding to 12212120177 its reverse (77102121221), we get a palindrome (89314241398).

The spelling of 12212120177 in words is "twelve billion, two hundred twelve million, one hundred twenty thousand, one hundred seventy-seven".