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12001110331199 = 1129311213581791
BaseRepresentation
bin1010111010100011100111…
…1010110000111100111111
31120111021222000100202212012
42232220321322300330333
53033111233221044244
641305122312201435
72346023462454503
oct256507172607477
946437860322765
1012001110331199
113907707a060a0
121419a8b69927b
13690913749ab2
142d6bdd24a303
1515c29a64789e
hexaea39eb0f3f

12001110331199 has 16 divisors (see below), whose sum is σ = 13980462243840. Its totient is φ = 10194087036000.

The previous prime is 12001110331127. The next prime is 12001110331229. The reversal of 12001110331199 is 99113301110021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12001110331199 - 228 = 12000841895743 is a prime.

It is a super-2 number, since 2×120011103311992 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001110330199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606781007 + ... + 606800784.

It is an arithmetic number, because the mean of its divisors is an integer number (873778890240).

Almost surely, 212001110331199 is an apocalyptic number.

12001110331199 is a deficient number, since it is larger than the sum of its proper divisors (1979351912641).

12001110331199 is a wasteful number, since it uses less digits than its factorization.

12001110331199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213581862.

The product of its (nonzero) digits is 1458, while the sum is 32.

The spelling of 12001110331199 in words is "twelve trillion, one billion, one hundred ten million, three hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 11 29 31 319 341 899 9889 1213581791 13349399701 35193871939 37621035521 387132591329 413831390731 1091010030109 12001110331199