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12200218127 is a prime number
BaseRepresentation
bin10110101110011000…
…01000111000001111
31011111020212021222122
423113030020320033
5144441223440002
65334341003155
7611222100026
oct132714107017
934436767878
1012200218127
1151a07834a9
1224459b34bb
1311c57971a6
1483a4598bd
154b611e6a2
hex2d7308e0f

12200218127 has 2 divisors, whose sum is σ = 12200218128. Its totient is φ = 12200218126.

The previous prime is 12200218091. The next prime is 12200218153. The reversal of 12200218127 is 72181200221.

12200218127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12200218153) can be obtained adding 12200218127 to its sum of digits (26).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12200218127 - 218 = 12199955983 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200218096 and 12200218105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200218627) 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, 6100109063 + 6100109064.

It is an arithmetic number, because the mean of its divisors is an integer number (6100109064).

Almost surely, 212200218127 is an apocalyptic number.

12200218127 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200218127 is an equidigital number, since it uses as much as digits as its factorization.

12200218127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 12200218127 its reverse (72181200221), we get a palindrome (84381418348).

The spelling of 12200218127 in words is "twelve billion, two hundred million, two hundred eighteen thousand, one hundred twenty-seven".