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12041414224129 is a prime number
BaseRepresentation
bin1010111100111001110000…
…1101111010100100000001
31120122010222212020200002101
42233032130031322210001
53034241304020133004
641335425504350401
72351651320060513
oct257163415724401
946563885220071
1012041414224129
11392280a457414
121425859315401
13694667761054
142d8b43d21bb3
1515d358b5bba4
hexaf39c37a901

12041414224129 has 2 divisors, whose sum is σ = 12041414224130. Its totient is φ = 12041414224128.

The previous prime is 12041414224109. The next prime is 12041414224237. The reversal of 12041414224129 is 92142241414021.

12041414224129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11598976398529 + 442437825600 = 3405727^2 + 665160^2 .

It is a cyclic number.

It is not a de Polignac number, because 12041414224129 - 221 = 12041412126977 is a prime.

It is not a weakly prime, because it can be changed into another prime (12041414224109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6020707112064 + 6020707112065.

It is an arithmetic number, because the mean of its divisors is an integer number (6020707112065).

Almost surely, 212041414224129 is an apocalyptic number.

It is an amenable number.

12041414224129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12041414224129 is an equidigital number, since it uses as much as digits as its factorization.

12041414224129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 12041414224129 in words is "twelve trillion, forty-one billion, four hundred fourteen million, two hundred twenty-four thousand, one hundred twenty-nine".