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12002111211217 is a prime number
BaseRepresentation
bin1010111010100111010110…
…0100110100011011010001
31120111101112202200202010111
42232221311210310123101
53033120310432224332
641305405504401321
72346060335012161
oct256516544643321
946441482622114
1012002111211217
113908080980066
12141a10a916241
13690a42c046aa
142d6c961465a1
1515c30844e947
hexaea759346d1

12002111211217 has 2 divisors, whose sum is σ = 12002111211218. Its totient is φ = 12002111211216.

The previous prime is 12002111211173. The next prime is 12002111211227. The reversal of 12002111211217 is 71211211120021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8864380790721 + 3137730420496 = 2977311^2 + 1771364^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002111211217 - 27 = 12002111211089 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002111211227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001055605608 + 6001055605609.

It is an arithmetic number, because the mean of its divisors is an integer number (6001055605609).

Almost surely, 212002111211217 is an apocalyptic number.

It is an amenable number.

12002111211217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002111211217 is an equidigital number, since it uses as much as digits as its factorization.

12002111211217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 12002111211217 its reverse (71211211120021), we get a palindrome (83213322331238).

The spelling of 12002111211217 in words is "twelve trillion, two billion, one hundred eleven million, two hundred eleven thousand, two hundred seventeen".