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120010000009 is a prime number
BaseRepresentation
bin110111111000100100…
…1110100011010001001
3102110202200222122221011
41233301021310122021
53431240030000014
6131044250443521
711445650111644
oct1576111643211
9373680878834
10120010000009
1146994575299
121b3131335a1
13b4172a8c33
145b467caa5b
1531c5ccd7c4
hex1bf1274689

120010000009 has 2 divisors, whose sum is σ = 120010000010. Its totient is φ = 120010000008.

The previous prime is 120010000007. The next prime is 120010000021. The reversal of 120010000009 is 900000010021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98739235984 + 21270764025 = 314228^2 + 145845^2 .

It is a cyclic number.

It is not a de Polignac number, because 120010000009 - 21 = 120010000007 is a prime.

Together with 120010000007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (120010000003) 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, 60005000004 + 60005000005.

It is an arithmetic number, because the mean of its divisors is an integer number (60005000005).

Almost surely, 2120010000009 is an apocalyptic number.

It is an amenable number.

120010000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

120010000009 is an equidigital number, since it uses as much as digits as its factorization.

120010000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The spelling of 120010000009 in words is "one hundred twenty billion, ten million, nine", and thus it is an aban number.