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12007527635329 is a prime number
BaseRepresentation
bin1010111010111011100001…
…1010110101100110000001
31120111220112020122121011221
42232232320122311212001
53033212404033312304
641312103153235041
72346341504605132
oct256567032654601
946456466577157
1012007527635329
11390a400350726
12141b180862a81
136913c7105485
142d724b645c89
1515c523c11054
hexaebb86b5981

12007527635329 has 2 divisors, whose sum is σ = 12007527635330. Its totient is φ = 12007527635328.

The previous prime is 12007527635267. The next prime is 12007527635339. The reversal of 12007527635329 is 92353672570021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11905398176400 + 102129458929 = 3450420^2 + 319577^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12007527635329 is a prime.

It is not a weakly prime, because it can be changed into another prime (12007527635339) 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, 6003763817664 + 6003763817665.

It is an arithmetic number, because the mean of its divisors is an integer number (6003763817665).

Almost surely, 212007527635329 is an apocalyptic number.

It is an amenable number.

12007527635329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12007527635329 is an equidigital number, since it uses as much as digits as its factorization.

12007527635329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4762800, while the sum is 52.

The spelling of 12007527635329 in words is "twelve trillion, seven billion, five hundred twenty-seven million, six hundred thirty-five thousand, three hundred twenty-nine".