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12007039466113 is a prime number
BaseRepresentation
bin1010111010111001101101…
…0100100111101010000001
31120111212021020002000220121
42232232123110213222001
53033210404100403423
641311542514140241
72346323426334226
oct256563324475201
946455236060817
1012007039466113
11390a17a83499a
12141b065281681
13691349c33353
142d720288d94d
1515c4e5e3345d
hexaeb9b527a81

12007039466113 has 2 divisors, whose sum is σ = 12007039466114. Its totient is φ = 12007039466112.

The previous prime is 12007039466089. The next prime is 12007039466137. The reversal of 12007039466113 is 31166493070021.

It is a balanced prime because it is at equal distance from previous prime (12007039466089) and next prime (12007039466137).

It can be written as a sum of positive squares in only one way, i.e., 11194063137009 + 812976329104 = 3345753^2 + 901652^2 .

It is a cyclic number.

It is not a de Polignac number, because 12007039466113 - 213 = 12007039457921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12007039466113.

It is not a weakly prime, because it can be changed into another prime (12007037466113) 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, 6003519733056 + 6003519733057.

It is an arithmetic number, because the mean of its divisors is an integer number (6003519733057).

Almost surely, 212007039466113 is an apocalyptic number.

It is an amenable number.

12007039466113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12007039466113 is an equidigital number, since it uses as much as digits as its factorization.

12007039466113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 12007039466113 in words is "twelve trillion, seven billion, thirty-nine million, four hundred sixty-six thousand, one hundred thirteen".