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12002022212209 is a prime number
BaseRepresentation
bin1010111010100111000001…
…0001010100001001110001
31120111101022120020010102221
42232221300101110021301
53033120120141242314
641305353005041041
72346055204355641
oct256516021241161
946441276203387
1012002022212209
113908035712867
12141a0a4b56181
13690a2a643263
142d6c883ba521
1515c30071e824
hexaea70454271

12002022212209 has 2 divisors, whose sum is σ = 12002022212210. Its totient is φ = 12002022212208.

The previous prime is 12002022212177. The next prime is 12002022212221. The reversal of 12002022212209 is 90221222020021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11840976509184 + 161045703025 = 3441072^2 + 401305^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002022212209 - 25 = 12002022212177 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002022212269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001011106104 + 6001011106105.

It is an arithmetic number, because the mean of its divisors is an integer number (6001011106105).

Almost surely, 212002022212209 is an apocalyptic number.

It is an amenable number.

12002022212209 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002022212209 is an equidigital number, since it uses as much as digits as its factorization.

12002022212209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 12002022212209 in words is "twelve trillion, two billion, twenty-two million, two hundred twelve thousand, two hundred nine".