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12001210010001 = 325325159769413
BaseRepresentation
bin1010111010100011111111…
…0111000000100110010001
31120111022012221220222110200
42232220333313000212101
53033111434230310001
641305140232445413
72346026112641322
oct256507767004621
946438187828420
1012001210010001
1139077591a8273
121419ab8b49869
1369092b2aa334
142d6c0c596449
1515c2a4287086
hexaea3fdc0991

12001210010001 has 12 divisors (see below), whose sum is σ = 17662158128628. Its totient is φ = 7849848056544.

The previous prime is 12001210009937. The next prime is 12001210010003. The reversal of 12001210010001 is 10001001210021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6113676582225 + 5887533427776 = 2472585^2 + 2426424^2 .

It is not a de Polignac number, because 12001210010001 - 26 = 12001210009937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12001210010003) 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 in 11 ways as a sum of consecutive naturals, for example, 12579884230 + ... + 12579885183.

It is an arithmetic number, because the mean of its divisors is an integer number (1471846510719).

Almost surely, 212001210010001 is an apocalyptic number.

It is an amenable number.

12001210010001 is a deficient number, since it is larger than the sum of its proper divisors (5660948118627).

12001210010001 is a wasteful number, since it uses less digits than its factorization.

12001210010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25159769472 (or 25159769469 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001210010001 its reverse (10001001210021), we get a palindrome (22002211220022).

The spelling of 12001210010001 in words is "twelve trillion, one billion, two hundred ten million, ten thousand, one".

Divisors: 1 3 9 53 159 477 25159769413 75479308239 226437924717 1333467778889 4000403336667 12001210010001