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12001201011017 is a prime number
BaseRepresentation
bin1010111010100011111101…
…0100101011100101001001
31120111022012022222210011222
42232220333110223211021
53033111424424323032
641305135311531425
72346025643311241
oct256507724534511
946438168883158
1012001201011017
113907754111199
121419ab5b29b75
136909294792aa
142d6c0b2d2b21
1515c2a35aaa12
hexaea3f52b949

12001201011017 has 2 divisors, whose sum is σ = 12001201011018. Its totient is φ = 12001201011016.

The previous prime is 12001201011001. The next prime is 12001201011029. The reversal of 12001201011017 is 71011010210021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11690627752336 + 310573258681 = 3419156^2 + 557291^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001201011017 - 24 = 12001201011001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001201010986 and 12001201011004.

It is not a weakly prime, because it can be changed into another prime (12001201016017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000600505508 + 6000600505509.

It is an arithmetic number, because the mean of its divisors is an integer number (6000600505509).

Almost surely, 212001201011017 is an apocalyptic number.

It is an amenable number.

12001201011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001201011017 is an equidigital number, since it uses as much as digits as its factorization.

12001201011017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 12001201011017 its reverse (71011010210021), we get a palindrome (83012211221038).

The spelling of 12001201011017 in words is "twelve trillion, one billion, two hundred one million, eleven thousand, seventeen".