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12030600242682 = 235715532277097
BaseRepresentation
bin1010111100010001011110…
…1001110110010111111010
31120121010002012211111100000
42233010113221312113322
53034102132130231212
641330440443253430
72351116326541020
oct257042751662772
946533065744300
1012030600242682
11391917022206a
12142373b81a276
13693633236b68
142d83d9a34710
1515ce245b41dc
hexaf117a765fa

12030600242682 has 96 divisors (see below), whose sum is σ = 30913299510912. Its totient is φ = 3435099508224.

The previous prime is 12030600242681. The next prime is 12030600242701. The reversal of 12030600242682 is 28624200603021.

12030600242682 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 600 + 2 + 42 + 6 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12030600242681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4144758 + ... + 6421854.

It is an arithmetic number, because the mean of its divisors is an integer number (322013536572).

Almost surely, 212030600242682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12030600242682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456649755456).

12030600242682 is an abundant number, since it is smaller than the sum of its proper divisors (18882699268230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12030600242682 is a wasteful number, since it uses less digits than its factorization.

12030600242682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278674 (or 2278662 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12030600242682 in words is "twelve trillion, thirty billion, six hundred million, two hundred forty-two thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1553 1701 3106 3402 4659 9318 10871 13977 21742 27954 32613 41931 65226 83862 97839 125793 195678 251586 293517 377379 587034 754758 880551 1761102 2277097 2641653 4554194 5283306 6831291 13662582 15939679 20493873 31879358 40987746 47819037 61481619 95638074 122963238 143457111 184444857 286914222 368889714 430371333 553334571 860742666 1106669142 1291113999 2582227998 3536331641 3873341997 7072663282 7746683994 10608994923 21217989846 24754321487 31826984769 49508642974 63653969538 74262964461 95480954307 148525928922 190961908614 222788893383 286442862921 445577786766 572885725842 668366680149 859328588763 1336733360298 1718657177526 2005100040447 4010200080894 6015300121341 12030600242682