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12306662712 = 23321721274657
BaseRepresentation
bin10110111011000100…
…01100010100111000
31011202200011020111200
423131202030110320
5200201001201322
65353102254200
7613653623061
oct133542142470
934680136450
1012306662712
115245876933
122475587360
131211856156
1484a647568
154c06488ac
hex2dd88c538

12306662712 has 144 divisors (see below), whose sum is σ = 35692949760. Its totient is φ = 3829690368.

The previous prime is 12306662707. The next prime is 12306662723. The reversal of 12306662712 is 21726660321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2640288 + ... + 2644944.

Almost surely, 212306662712 is an apocalyptic number.

12306662712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12306662712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846474880).

12306662712 is an abundant number, since it is smaller than the sum of its proper divisors (23386287048).

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

12306662712 is a wasteful number, since it uses less digits than its factorization.

12306662712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12306662712 in words is "twelve billion, three hundred six million, six hundred sixty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 127 136 153 204 254 289 306 381 408 508 578 612 762 867 1016 1143 1156 1224 1524 1734 2159 2286 2312 2601 3048 3468 4318 4572 4657 5202 6477 6936 8636 9144 9314 10404 12954 13971 17272 18628 19431 20808 25908 27942 36703 37256 38862 41913 51816 55884 73406 77724 79169 83826 110109 111768 146812 155448 158338 167652 220218 237507 293624 316676 330327 335304 440436 475014 591439 633352 660654 712521 880872 950028 1182878 1321308 1345873 1425042 1774317 1900056 2365756 2642616 2691746 2850084 3548634 4037619 4731512 5322951 5383492 5700168 7097268 8075238 10054463 10645902 10766984 12112857 14194536 16150476 20108926 21291804 24225714 30163389 32300952 40217852 42583608 48451428 60326778 80435704 90490167 96902856 120653556 170925871 180980334 241307112 341851742 361960668 512777613 683703484 723921336 1025555226 1367406968 1538332839 2051110452 3076665678 4102220904 6153331356 12306662712