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120210211217 is a prime number
BaseRepresentation
bin110111111110100010…
…1100100000110010001
3102111021122201110002002
41233331011210012101
53432142303224332
6131120202003345
711453630636045
oct1577505440621
9374248643062
10120210211217
1146a875919a8
121b36a1a6555
13b4499083c5
145b65226025
1531d867a562
hex1bfd164191

120210211217 has 2 divisors, whose sum is σ = 120210211218. Its totient is φ = 120210211216.

The previous prime is 120210211127. The next prime is 120210211267. The reversal of 120210211217 is 712112012021.

It is a happy number.

Together with previous prime (120210211127) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119218968961 + 991242256 = 345281^2 + 31484^2 .

It is a cyclic number.

It is not a de Polignac number, because 120210211217 - 210 = 120210210193 is a prime.

It is not a weakly prime, because it can be changed into another prime (120210211267) 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, 60105105608 + 60105105609.

It is an arithmetic number, because the mean of its divisors is an integer number (60105105609).

Almost surely, 2120210211217 is an apocalyptic number.

It is an amenable number.

120210211217 is a deficient number, since it is larger than the sum of its proper divisors (1).

120210211217 is an equidigital number, since it uses as much as digits as its factorization.

120210211217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 120210211217 its reverse (712112012021), we get a palindrome (832322223238).

The spelling of 120210211217 in words is "one hundred twenty billion, two hundred ten million, two hundred eleven thousand, two hundred seventeen".