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12123423312 = 24371113252319
BaseRepresentation
bin10110100101001110…
…01100001001010000
31011021220100201022020
423102213030021100
5144312044021222
65322555011440
7606300253320
oct132247141120
934256321266
1012123423312
1151613a1410
122424139b80
1311b28b9980
14830189280
154ae50065c
hex2d29cc250

12123423312 has 160 divisors (see below), whose sum is σ = 42050641920. Its totient is φ = 2906703360.

The previous prime is 12123423289. The next prime is 12123423329. The reversal of 12123423312 is 21332432121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78112 + ... + 174207.

It is an arithmetic number, because the mean of its divisors is an integer number (262816512).

Almost surely, 212123423312 is an apocalyptic number.

12123423312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12123423312 is an abundant number, since it is smaller than the sum of its proper divisors (29927218608).

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

12123423312 is a wasteful number, since it uses less digits than its factorization.

12123423312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252361 (or 252355 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 12123423312 its reverse (21332432121), we get a palindrome (33455855433).

The spelling of 12123423312 in words is "twelve billion, one hundred twenty-three million, four hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 252319 504638 756957 1009276 1513914 1766233 2018552 2775509 3027828 3280147 3532466 4037104 5298699 5551018 6055656 6560294 7064932 8326527 9840441 10597398 11102036 12111312 13120588 14129864 16653054 19428563 19680882 21194796 22204072 22961029 26241176 28259728 33306108 36081617 38857126 39361764 42389592 44408144 45922058 52482352 58285689 66612216 68883087 72163234 77714252 78723528 84779184 91844116 108244851 116571378 133224432 137766174 144326468 155428504 157447056 183688232 216489702 233142756 252571319 275532348 288652936 310857008 367376464 432979404 466285512 505142638 551064696 577305872 757713957 865958808 932571024 1010285276 1102129392 1515427914 1731917616 2020570552 3030855828 4041141104 6061711656 12123423312