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12002310112221 = 32111374201125683
BaseRepresentation
bin1010111010101000000101…
…1011100100001111011101
31120111102001121221222000100
42232222001123210033131
53033121212342042341
641305441331451313
72346065301441402
oct256520133441735
946442047858010
1012002310112221
113908173182360
12141a165456b39
13690a751956b0
142d6cb47202a9
1515c31ab3d3b6
hexaea816e43dd

12002310112221 has 48 divisors (see below), whose sum is σ = 20367993102912. Its totient is φ = 6714435168000.

The previous prime is 12002310112201. The next prime is 12002310112259. The reversal of 12002310112221 is 12221101320021.

12002310112221 is a `hidden beast` number, since 1 + 20 + 0 + 2 + 310 + 112 + 221 = 666.

It is not a de Polignac number, because 12002310112221 - 26 = 12002310112157 is a prime.

It is a super-2 number, since 2×120023101122212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12002310112194 and 12002310112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002310112201) 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 47 ways as a sum of consecutive naturals, for example, 95433846 + ... + 95559528.

It is an arithmetic number, because the mean of its divisors is an integer number (424333189644).

Almost surely, 212002310112221 is an apocalyptic number.

12002310112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002310112221 is a deficient number, since it is larger than the sum of its proper divisors (8365682990691).

12002310112221 is a wasteful number, since it uses less digits than its factorization.

12002310112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199914 (or 199911 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12002310112221 its reverse (12221101320021), we get a palindrome (24223411432242).

The spelling of 12002310112221 in words is "twelve trillion, two billion, three hundred ten million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 74201 125683 222603 377049 667809 816211 964613 1131147 1382513 1633879 2448633 2893839 4147539 4901637 7345899 8681517 10610743 12442617 14704911 17972669 31832229 53918007 95496687 161754021 9325804283 27977412849 83932238547 102583847113 121235455679 307751541339 363706367037 923254624017 1091119101111 1333590012469 4000770037407 12002310112221