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12100120009 is a prime number
BaseRepresentation
bin10110100010011100…
…10010110111001001
31011020021111210011221
423101032102313021
5144240112320014
65320403322041
7605565215545
oct132116226711
934207453157
1012100120009
11514a22528a
122418380321
1311aab1ab33
1482b040a25
154ac44ab24
hex2d1392dc9

12100120009 has 2 divisors, whose sum is σ = 12100120010. Its totient is φ = 12100120008.

The previous prime is 12100120001. The next prime is 12100120031. The reversal of 12100120009 is 90002100121.

12100120009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11020800400 + 1079319609 = 104980^2 + 32853^2 .

It is an emirp because it is prime and its reverse (90002100121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12100120009 - 23 = 12100120001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100119974 and 12100120001.

It is not a weakly prime, because it can be changed into another prime (12100120001) 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, 6050060004 + 6050060005.

It is an arithmetic number, because the mean of its divisors is an integer number (6050060005).

Almost surely, 212100120009 is an apocalyptic number.

It is an amenable number.

12100120009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100120009 is an equidigital number, since it uses as much as digits as its factorization.

12100120009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 12100120009 in words is "twelve billion, one hundred million, one hundred twenty thousand, nine".