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12200121021029 is a prime number
BaseRepresentation
bin1011000110001000111111…
…1000010011001001100101
31121012022122102002021221012
42301202033320103021211
53044341321440133104
641540354102032005
72366300241432344
oct261421770231145
947168572067835
1012200121021029
113984051294987
12145056ba18605
136a660ab02626
143026bbba3b5b
15162546cecd6e
hexb188fe13265

12200121021029 has 2 divisors, whose sum is σ = 12200121021030. Its totient is φ = 12200121021028.

The previous prime is 12200121021007. The next prime is 12200121021043. The reversal of 12200121021029 is 92012012100221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7368499392004 + 4831621629025 = 2714498^2 + 2198095^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200121021029 - 224 = 12200104243813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200121020995 and 12200121021013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200121021059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100060510514 + 6100060510515.

It is an arithmetic number, because the mean of its divisors is an integer number (6100060510515).

Almost surely, 212200121021029 is an apocalyptic number.

It is an amenable number.

12200121021029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200121021029 is an equidigital number, since it uses as much as digits as its factorization.

12200121021029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12200121021029 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, twenty-one thousand, twenty-nine".