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12002312312009 is a prime number
BaseRepresentation
bin1010111010101000000110…
…0011111101010011001001
31120111102001210002201112222
42232222001203331103021
53033121213422441014
641305441450543425
72346065326232645
oct256520143752311
946442053081488
1012002312312009
113908174445068
12141a166137b75
13690a75785a46
142d6cb4b33c25
1515c31ae2508e
hexaea818fd4c9

12002312312009 has 2 divisors, whose sum is σ = 12002312312010. Its totient is φ = 12002312312008.

The previous prime is 12002312311999. The next prime is 12002312312119. The reversal of 12002312312009 is 90021321320021.

12002312312009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10242304129600 + 1760008182409 = 3200360^2 + 1326653^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002312312009 - 220 = 12002311263433 is a prime.

It is a super-3 number, since 3×120023123120093 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12002312312609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001156156004 + 6001156156005.

It is an arithmetic number, because the mean of its divisors is an integer number (6001156156005).

Almost surely, 212002312312009 is an apocalyptic number.

It is an amenable number.

12002312312009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002312312009 is an equidigital number, since it uses as much as digits as its factorization.

12002312312009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 12002312312009 in words is "twelve trillion, two billion, three hundred twelve million, three hundred twelve thousand, nine".