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12221329296041 is a prime number
BaseRepresentation
bin1011000111010111111111…
…1111011100101010101001
31121021100101110012021220022
42301311333333130222221
53100213240244433131
641554222353010225
72400650635001045
oct261657777345251
947240343167808
1012221329296041
113992044861898
1214546aa553975
136a860a90b098
14303730731025
15162d88b8b37b
hexb1d7ffdcaa9

12221329296041 has 2 divisors, whose sum is σ = 12221329296042. Its totient is φ = 12221329296040.

The previous prime is 12221329295963. The next prime is 12221329296079. The reversal of 12221329296041 is 14069292312221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7949580250000 + 4271749046041 = 2819500^2 + 2066821^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221329296041 - 226 = 12221262187177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221329295983 and 12221329296001.

It is not a weakly prime, because it can be changed into another prime (12221389296041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110664648020 + 6110664648021.

It is an arithmetic number, because the mean of its divisors is an integer number (6110664648021).

Almost surely, 212221329296041 is an apocalyptic number.

It is an amenable number.

12221329296041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221329296041 is an equidigital number, since it uses as much as digits as its factorization.

12221329296041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 12221329296041 in words is "twelve trillion, two hundred twenty-one billion, three hundred twenty-nine million, two hundred ninety-six thousand, forty-one".