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12008865024217 is a prime number
BaseRepresentation
bin1010111011000000100000…
…1000100100100011011001
31120112000222110011222211201
42232300020020210203121
53033223123421233332
641312444010154201
72346416604330115
oct256601010444331
946460873158751
1012008865024217
11390aa272657a6
12141b494722961
1369157b201649
142d73370da745
1515c5a13395e7
hexaec082248d9

12008865024217 has 2 divisors, whose sum is σ = 12008865024218. Its totient is φ = 12008865024216.

The previous prime is 12008865024193. The next prime is 12008865024239. The reversal of 12008865024217 is 71242056880021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11999926456281 + 8938567936 = 3464091^2 + 94544^2 .

It is an emirp because it is prime and its reverse (71242056880021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12008865024217 - 211 = 12008865022169 is a prime.

It is not a weakly prime, because it can be changed into another prime (12008865024257) 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, 6004432512108 + 6004432512109.

It is an arithmetic number, because the mean of its divisors is an integer number (6004432512109).

Almost surely, 212008865024217 is an apocalyptic number.

It is an amenable number.

12008865024217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12008865024217 is an equidigital number, since it uses as much as digits as its factorization.

12008865024217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 12008865024217 in words is "twelve trillion, eight billion, eight hundred sixty-five million, twenty-four thousand, two hundred seventeen".