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2012122127 is a prime number
BaseRepresentation
bin111011111101110…
…1000110000001111
312012020011101122202
41313323220300033
513110100402002
6531354432115
7100601520161
oct16773506017
95166141582
102012122127
11942877154
12481a3263b
13260b2cb12
14151332931
15bb9a9502
hex77ee8c0f

2012122127 has 2 divisors, whose sum is σ = 2012122128. Its totient is φ = 2012122126.

The previous prime is 2012122117. The next prime is 2012122129. The reversal of 2012122127 is 7212212102.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2012122127 is a prime.

Together with 2012122129, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012122099 and 2012122108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012122129) 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, 1006061063 + 1006061064.

It is an arithmetic number, because the mean of its divisors is an integer number (1006061064).

Almost surely, 22012122127 is an apocalyptic number.

2012122127 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012122127 is an equidigital number, since it uses as much as digits as its factorization.

2012122127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2012122127 is about 44856.6843068009. The cubic root of 2012122127 is about 1262.4614115187.

Adding to 2012122127 its reverse (7212212102), we get a palindrome (9224334229).

The spelling of 2012122127 in words is "two billion, twelve million, one hundred twenty-two thousand, one hundred twenty-seven".