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12201222102029 is a prime number
BaseRepresentation
bin1011000110001101000110…
…0000100101110000001101
31121012102111010222000002222
42301203101200211300031
53044401100324231104
641541055234025125
72366336441450132
oct261432140456015
947172433860088
1012201222102029
113984566878384
1214508187181a5
136a6754c7134c
14302784104589
151625ad7e91be
hexb18d1825c0d

12201222102029 has 2 divisors, whose sum is σ = 12201222102030. Its totient is φ = 12201222102028.

The previous prime is 12201222102019. The next prime is 12201222102031. The reversal of 12201222102029 is 92020122210221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8243617168900 + 3957604933129 = 2871170^2 + 1989373^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201222102029 - 28 = 12201222101773 is a prime.

Together with 12201222102031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201222101989 and 12201222102007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201222102019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100611051014 + 6100611051015.

It is an arithmetic number, because the mean of its divisors is an integer number (6100611051015).

Almost surely, 212201222102029 is an apocalyptic number.

It is an amenable number.

12201222102029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201222102029 is an equidigital number, since it uses as much as digits as its factorization.

12201222102029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 12201222102029 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, one hundred two thousand, twenty-nine".