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12009899330424 = 2334197194948271
BaseRepresentation
bin1010111011000100010111…
…0010001000101101111000
31120112010122112102012020000
42232301011302020231320
53033232233212033144
641313134355033000
72346454333643112
oct256610562105570
946463575365200
1012009899330424
113910408090316
12141b722b9b760
136916b4590858
142d73d46183b2
1515c612045769
hexaec45c88b78

12009899330424 has 160 divisors (see below), whose sum is σ = 33827641848000. Its totient is φ = 3980852386560.

The previous prime is 12009899330417. The next prime is 12009899330431. The reversal of 12009899330424 is 42403399890021.

12009899330424 is a `hidden beast` number, since 1 + 20 + 0 + 9 + 89 + 93 + 30 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (12009899330417) and next prime (12009899330431).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248777409 + ... + 248825679.

It is an arithmetic number, because the mean of its divisors is an integer number (211422761550).

Almost surely, 212009899330424 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 12009899330424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913820924000).

12009899330424 is an abundant number, since it is smaller than the sum of its proper divisors (21817742517576).

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

12009899330424 is a wasteful number, since it uses less digits than its factorization.

12009899330424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50435 (or 50422 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 12009899330424 in words is "twelve trillion, nine billion, eight hundred ninety-nine million, three hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 197 216 324 394 591 648 788 1182 1576 1773 1949 2364 3546 3898 4728 5319 5847 7092 7796 10638 11694 14184 15592 15957 17541 21276 23388 31914 35082 42552 46776 48271 52623 63828 70164 96542 105246 127656 140328 144813 157869 193084 210492 289626 315738 383953 386168 420984 434439 579252 631476 767906 868878 1151859 1158504 1262952 1303317 1535812 1737756 2303718 2606634 3071624 3455577 3475512 3909951 4607436 5213268 6911154 7819902 9214872 9509387 10366731 10426536 13822308 15639804 19018774 20733462 27644616 28528161 31100193 31279608 38037548 41466924 57056322 62200386 76075096 82933848 85584483 94080179 114112644 124400772 171168966 188160358 228225288 248801544 256753449 282240537 342337932 376320716 513506898 564481074 684675864 752641432 770260347 846721611 1027013796 1128962148 1540520694 1693443222 2054027592 2257924296 2540164833 3081041388 3386886444 5080329666 6162082776 6773772888 7620494499 10160659332 15240988998 18533795263 20321318664 30481977996 37067590526 55601385789 60963955992 74135181052 111202771578 148270362104 166804157367 222405543156 333608314734 444811086312 500412472101 667216629468 1000824944202 1334433258936 1501237416303 2001649888404 3002474832606 4003299776808 6004949665212 12009899330424