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12141242129 is a prime number
BaseRepresentation
bin10110100111010110…
…01010011100010001
31011100010220000010102
423103223022130101
5144331124222004
65324432542145
7606604566242
oct132353123421
934303800112
1012141242129
115170461a05
12242a0b1955
1311b64b8353
148326a6cc9
154b0d7011e
hex2d3aca711

12141242129 has 2 divisors, whose sum is σ = 12141242130. Its totient is φ = 12141242128.

The previous prime is 12141242083. The next prime is 12141242159. The reversal of 12141242129 is 92124214121.

It is a happy number.

12141242129 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., 11020800400 + 1120441729 = 104980^2 + 33473^2 .

It is a cyclic number.

It is not a de Polignac number, because 12141242129 - 220 = 12140193553 is a prime.

It is not a weakly prime, because it can be changed into another prime (12141242159) 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, 6070621064 + 6070621065.

It is an arithmetic number, because the mean of its divisors is an integer number (6070621065).

Almost surely, 212141242129 is an apocalyptic number.

It is an amenable number.

12141242129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12141242129 is an equidigital number, since it uses as much as digits as its factorization.

12141242129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 29.

It can be divided in two parts, 12 and 141242129, that added together give a palindrome (141242141).

The spelling of 12141242129 in words is "twelve billion, one hundred forty-one million, two hundred forty-two thousand, one hundred twenty-nine".