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12414323104129 is a prime number
BaseRepresentation
bin1011010010100110111101…
…0100011001100110000001
31121221210112112002112220101
42310221233110121212001
53111344013203313004
642223021124042401
72420622333206422
oct264515724314601
947853475075811
1012414323104129
113a5698082a341
121485b8b833401
136c0886566b6b
1430cbdc123649
15167dd1ec1ba4
hexb4a6f519981

12414323104129 has 2 divisors, whose sum is σ = 12414323104130. Its totient is φ = 12414323104128.

The previous prime is 12414323103997. The next prime is 12414323104163. The reversal of 12414323104129 is 92140132341421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11522766030400 + 891557073729 = 3394520^2 + 944223^2 .

It is an emirp because it is prime and its reverse (92140132341421) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12414323104129 is a prime.

It is a super-2 number, since 2×124143231041292 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12414323101129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6207161552064 + 6207161552065.

It is an arithmetic number, because the mean of its divisors is an integer number (6207161552065).

Almost surely, 212414323104129 is an apocalyptic number.

It is an amenable number.

12414323104129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12414323104129 is an equidigital number, since it uses as much as digits as its factorization.

12414323104129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 12414323104129 in words is "twelve trillion, four hundred fourteen billion, three hundred twenty-three million, one hundred four thousand, one hundred twenty-nine".