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12200200120001 is a prime number
BaseRepresentation
bin1011000110001001010010…
…0110000010011011000001
31121012022211220220221022202
42301202110212002123001
53044342002212320001
641540410005242545
72366302221653525
oct261422446023301
947168756827282
1012200200120001
113984091a00133
121450592403455
136a662130885a
143026c84b3d85
1516254dc2496b
hexb18949826c1

12200200120001 has 2 divisors, whose sum is σ = 12200200120002. Its totient is φ = 12200200120000.

The previous prime is 12200200119937. The next prime is 12200200120039. The reversal of 12200200120001 is 10002100200221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11238719856400 + 961480263601 = 3352420^2 + 980551^2 .

It is an emirp because it is prime and its reverse (10002100200221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12200200120001 - 26 = 12200200119937 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200200122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100100060000 + 6100100060001.

It is an arithmetic number, because the mean of its divisors is an integer number (6100100060001).

Almost surely, 212200200120001 is an apocalyptic number.

It is an amenable number.

12200200120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200200120001 is an equidigital number, since it uses as much as digits as its factorization.

12200200120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200200120001 its reverse (10002100200221), we get a palindrome (22202300320222).

The spelling of 12200200120001 in words is "twelve trillion, two hundred billion, two hundred million, one hundred twenty thousand, one".