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12001102032321 = 327331358359481
BaseRepresentation
bin1010111010100011100101…
…1011000110110111000001
31120111021221102202010221100
42232220321123012313001
53033111224110013241
641305121414245013
72346023332101513
oct256507133066701
946437842663840
1012001102032321
113907703258016
121419a88956769
13690911b0260c
142d6bdc0c9bb3
1515c299a589b6
hexaea396c6dc1

12001102032321 has 24 divisors (see below), whose sum is σ = 17628532008776. Its totient is φ = 7865924152320.

The previous prime is 12001102032289. The next prime is 12001102032323. The reversal of 12001102032321 is 12323020110021.

12001102032321 is a `hidden beast` number, since 1 + 200 + 110 + 2 + 0 + 32 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 247072620096 + 11754029412225 = 497064^2 + 3428415^2 .

It is not a de Polignac number, because 12001102032321 - 25 = 12001102032289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001102032294 and 12001102032303.

It is not an unprimeable number, because it can be changed into a prime (12001102032323) 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 23 ways as a sum of consecutive naturals, for example, 28974100 + ... + 29385381.

Almost surely, 212001102032321 is an apocalyptic number.

It is an amenable number.

12001102032321 is a deficient number, since it is larger than the sum of its proper divisors (5627429976455).

12001102032321 is a wasteful number, since it uses less digits than its factorization.

12001102032321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58359873 (or 58359870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12001102032321 its reverse (12323020110021), we get a palindrome (24324122142342).

The spelling of 12001102032321 in words is "twelve trillion, one billion, one hundred two million, thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 73 219 313 657 939 2817 22849 68547 205641 58359481 175078443 525235329 4260242113 12780726339 18266517553 38342179017 54799552659 164398657977 1333455781369 4000367344107 12001102032321