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120209 is a prime number
BaseRepresentation
bin11101010110010001
320002220012
4131112101
512321314
62324305
71010315
oct352621
9202805
10120209
1182351
1259695
134293b
1431b45
152593e
hex1d591

120209 has 2 divisors, whose sum is σ = 120210. Its totient is φ = 120208.

The previous prime is 120199. The next prime is 120223. The reversal of 120209 is 902021.

120209 is nontrivially palindromic in base 12.

It is an a-pointer prime, because the next prime (120223) can be obtained adding 120209 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 46225 = 272^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 120209 - 24 = 120193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120193 and 120202.

It is not a weakly prime, because it can be changed into another prime (120299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60104 + 60105.

It is an arithmetic number, because the mean of its divisors is an integer number (60105).

2120209 is an apocalyptic number.

It is an amenable number.

120209 is a deficient number, since it is larger than the sum of its proper divisors (1).

120209 is an equidigital number, since it uses as much as digits as its factorization.

120209 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 14.

The square root of 120209 is about 346.7116957935. The cubic root of 120209 is about 49.3528603406.

The spelling of 120209 in words is "one hundred twenty thousand, two hundred nine".