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12123542033 is a prime number
BaseRepresentation
bin10110100101001111…
…01001001000010001
31011021220120202011022
423102213221020101
5144312111321113
65323001325225
7606301256411
oct132247511021
934256522138
1012123542033
115161472629
122424196815
1311b292ba15
148301ba641
154ae525908
hex2d29e9211

12123542033 has 2 divisors, whose sum is σ = 12123542034. Its totient is φ = 12123542032.

The previous prime is 12123542009. The next prime is 12123542069. The reversal of 12123542033 is 33024532121.

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., 11178409984 + 945132049 = 105728^2 + 30743^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123542033 - 28 = 12123541777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12123541993 and 12123542011.

It is not a weakly prime, because it can be changed into another prime (12123542533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061771016 + 6061771017.

It is an arithmetic number, because the mean of its divisors is an integer number (6061771017).

Almost surely, 212123542033 is an apocalyptic number.

It is an amenable number.

12123542033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123542033 is an equidigital number, since it uses as much as digits as its factorization.

12123542033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 12123542033 in words is "twelve billion, one hundred twenty-three million, five hundred forty-two thousand, thirty-three".