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12002312333281 is a prime number
BaseRepresentation
bin1010111010101000000110…
…0100000010011111100001
31120111102001210010210201211
42232222001210002133201
53033121213424131111
641305441451230121
72346065326351654
oct256520144023741
946442053123654
1012002312333281
11390817445a046
12141a166148341
13690a7579262a
142d6cb4b3b89b
1515c31ae2b521
hexaea819027e1

12002312333281 has 2 divisors, whose sum is σ = 12002312333282. Its totient is φ = 12002312333280.

The previous prime is 12002312333267. The next prime is 12002312333287. The reversal of 12002312333281 is 18233321320021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11569243046881 + 433069286400 = 3401359^2 + 658080^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002312333281 - 225 = 12002278778849 is a prime.

It is a super-2 number, since 2×120023123332812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12002312333287) 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, 6001156166640 + 6001156166641.

It is an arithmetic number, because the mean of its divisors is an integer number (6001156166641).

Almost surely, 212002312333281 is an apocalyptic number.

It is an amenable number.

12002312333281 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002312333281 is an equidigital number, since it uses as much as digits as its factorization.

12002312333281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 12002312333281 in words is "twelve trillion, two billion, three hundred twelve million, three hundred thirty-three thousand, two hundred eighty-one".