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12459242161 is a prime number
BaseRepresentation
bin10111001101010000…
…01111001010110001
31012011022021002011101
423212220033022301
5201004031222121
65420152444401
7620515545112
oct134650171261
935138232141
1012459242161
115313a10053
1224b86a9701
131237349152
14862a04209
154cdc37491
hex2e6a0f2b1

12459242161 has 2 divisors, whose sum is σ = 12459242162. Its totient is φ = 12459242160.

The previous prime is 12459242137. The next prime is 12459242167. The reversal of 12459242161 is 16124295421.

12459242161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7539622561 + 4919619600 = 86831^2 + 70140^2 .

It is a cyclic number.

It is not a de Polignac number, because 12459242161 - 25 = 12459242129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12459242161.

It is not a weakly prime, because it can be changed into another prime (12459242167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6229621080 + 6229621081.

It is an arithmetic number, because the mean of its divisors is an integer number (6229621081).

Almost surely, 212459242161 is an apocalyptic number.

It is an amenable number.

12459242161 is a deficient number, since it is larger than the sum of its proper divisors (1).

12459242161 is an equidigital number, since it uses as much as digits as its factorization.

12459242161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34560, while the sum is 37.

It can be divided in two parts, 124592 and 42161, that added together give a triangular number (166753 = T577).

The spelling of 12459242161 in words is "twelve billion, four hundred fifty-nine million, two hundred forty-two thousand, one hundred sixty-one".