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12123112201 is a prime number
BaseRepresentation
bin10110100101001100…
…00000001100001001
31011021212202220112121
423102212000030021
5144312004042301
65322544211241
7606264516304
oct132246001411
934255686477
1012123112201
1151611a96a2
122424009b21
1311b280b195
14830107b3b
154ae48d3a1
hex2d2980309

12123112201 has 2 divisors, whose sum is σ = 12123112202. Its totient is φ = 12123112200.

The previous prime is 12123112187. The next prime is 12123112207. The reversal of 12123112201 is 10221132121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11642625801 + 480486400 = 107901^2 + 21920^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123112201 - 27 = 12123112073 is a prime.

It is not a weakly prime, because it can be changed into another prime (12123112207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061556100 + 6061556101.

It is an arithmetic number, because the mean of its divisors is an integer number (6061556101).

Almost surely, 212123112201 is an apocalyptic number.

It is an amenable number.

12123112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123112201 is an equidigital number, since it uses as much as digits as its factorization.

12123112201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12123112201 its reverse (10221132121), we get a palindrome (22344244322).

The spelling of 12123112201 in words is "twelve billion, one hundred twenty-three million, one hundred twelve thousand, two hundred one".