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12508161412912 = 24114122711716521
BaseRepresentation
bin1011011000000100100010…
…0001001000111100110000
31122021202202021102112211021
42312001020201020330300
53114413203310203122
642334100420425224
72430453620524534
oct266011041107460
948252667375737
1012508161412912
113a92755037650
1214a01b9b48214
136c968c647369
14313580ac5bc4
1516a5752d51c7
hexb6048848f30

12508161412912 has 160 divisors (see below), whose sum is σ = 27229237717248. Its totient is φ = 5516858880000.

The previous prime is 12508161412909. The next prime is 12508161412913. The reversal of 12508161412912 is 21921416180521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12508161412913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918132212 + ... + 1918138732.

Almost surely, 212508161412912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12508161412912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13614618858624).

12508161412912 is an abundant number, since it is smaller than the sum of its proper divisors (14721076304336).

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

12508161412912 is a wasteful number, since it uses less digits than its factorization.

12508161412912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7979 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 12508161412912 in words is "twelve trillion, five hundred eight billion, one hundred sixty-one million, four hundred twelve thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 227 328 451 454 656 902 908 1171 1804 1816 2342 2497 3608 3632 4684 4994 6521 7216 9307 9368 9988 12881 13042 18614 18736 19976 25762 26084 37228 39952 48011 51524 52168 71731 74456 96022 102377 103048 104336 143462 148912 192044 204754 206096 265817 267361 286924 384088 409508 528121 531634 534722 573848 768176 819016 1056242 1063268 1069444 1147696 1480267 1638032 2112484 2126536 2138888 2923987 2940971 2960534 4224968 4253072 4277776 5847974 5881942 5921068 7636091 8449936 10898497 11695948 11763884 11842136 15272182 16282937 21796994 23391896 23527768 23684272 30544364 32565874 43593988 46783792 47055536 60690947 61088728 65131748 83997001 87187976 119883467 121381894 122177456 130263496 167994002 174375952 239766934 242763788 260526992 313079731 335988004 479533868 485527576 626159462 667600417 671976008 959067736 971055152 1252318924 1335200834 1343952016 1733392657 1918135472 2504637848 2670401668 3443877041 3466785314 5009275696 5340803336 6887754082 6933570628 10681606672 13775508164 13867141256 19067319227 27551016328 27734282512 38134638454 55102032656 71069098937 76269276908 142138197874 152538553816 284276395748 305077107632 568552791496 781760088307 1137105582992 1563520176614 3127040353228 6254080706456 12508161412912