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122245064129 is a prime number
BaseRepresentation
bin111000111011001011…
…1111010010111000001
3102200112110122200111202
41301312113322113001
54000324214023004
6132054131550545
711555226620606
oct1616627722701
9380473580452
10122245064129
1147931174021
121b83775b455
13b6b2366596
145cb95946ad
1532a7124b1e
hex1c765fa5c1

122245064129 has 2 divisors, whose sum is σ = 122245064130. Its totient is φ = 122245064128.

The previous prime is 122245064119. The next prime is 122245064173. The reversal of 122245064129 is 921460542221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121694927104 + 550137025 = 348848^2 + 23455^2 .

It is a cyclic number.

It is not a de Polignac number, because 122245064129 - 24 = 122245064113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122245064092 and 122245064101.

It is not a weakly prime, because it can be changed into another prime (122245064119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61122532064 + 61122532065.

It is an arithmetic number, because the mean of its divisors is an integer number (61122532065).

Almost surely, 2122245064129 is an apocalyptic number.

It is an amenable number.

122245064129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122245064129 is an equidigital number, since it uses as much as digits as its factorization.

122245064129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 122245064129 in words is "one hundred twenty-two billion, two hundred forty-five million, sixty-four thousand, one hundred twenty-nine".