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12200121991129 is a prime number
BaseRepresentation
bin1011000110001000111111…
…1011111111111111011001
31121012022122110220120122211
42301202033323333333121
53044341322212204004
641540354134515121
72366300252612542
oct261421773777731
947168573816584
1012200121991129
113984051897816
121450570205aa1
136a660b082057
143026bbd774c9
15162546e40504
hexb188fefffd9

12200121991129 has 2 divisors, whose sum is σ = 12200121991130. Its totient is φ = 12200121991128.

The previous prime is 12200121991103. The next prime is 12200121991139. The reversal of 12200121991129 is 92119912100221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11526330552025 + 673791439104 = 3395045^2 + 820848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200121991129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200121991091 and 12200121991100.

It is not a weakly prime, because it can be changed into another prime (12200121991139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100060995564 + 6100060995565.

It is an arithmetic number, because the mean of its divisors is an integer number (6100060995565).

Almost surely, 212200121991129 is an apocalyptic number.

It is an amenable number.

12200121991129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200121991129 is an equidigital number, since it uses as much as digits as its factorization.

12200121991129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 40.

The spelling of 12200121991129 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, nine hundred ninety-one thousand, one hundred twenty-nine".