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12061117612009 is a prime number
BaseRepresentation
bin1010111110000011001010…
…1000010111111111101001
31120201000212000122111000001
42233200302220113333221
53040102132102041014
641352445000343001
72353246511105164
oct257406250277751
946630760574001
1012061117612009
113930100506354
121429637a74a61
13696487855c4b
142d9a92a76adb
1515db0d837974
hexaf832a17fe9

12061117612009 has 2 divisors, whose sum is σ = 12061117612010. Its totient is φ = 12061117612008.

The previous prime is 12061117612007. The next prime is 12061117612069. The reversal of 12061117612009 is 90021671116021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9716605419609 + 2344512192400 = 3117147^2 + 1531180^2 .

It is a cyclic number.

It is not a de Polignac number, because 12061117612009 - 21 = 12061117612007 is a prime.

It is a super-2 number, since 2×120611176120092 (a number of 27 digits) contains 22 as substring.

Together with 12061117612007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12061117612007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6030558806004 + 6030558806005.

It is an arithmetic number, because the mean of its divisors is an integer number (6030558806005).

Almost surely, 212061117612009 is an apocalyptic number.

It is an amenable number.

12061117612009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12061117612009 is an equidigital number, since it uses as much as digits as its factorization.

12061117612009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 37.

The spelling of 12061117612009 in words is "twelve trillion, sixty-one billion, one hundred seventeen million, six hundred twelve thousand, nine".