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12023421424344 = 23321155632728939
BaseRepresentation
bin1010111011110110101111…
…0000110101001011011000
31120120102112220121201220100
42232331223300311023120
53033442431341034334
641323252240255400
72350443406564341
oct256755360651330
946512486551810
1012023421424344
113916116a42650
121422277611560
13692a5ab81b65
142d7d1844b0c8
1515cb54226c99
hexaef6bc352d8

12023421424344 has 96 divisors (see below), whose sum is σ = 35530143854400. Its totient is φ = 3642804757440.

The previous prime is 12023421424307. The next prime is 12023421424363. The reversal of 12023421424344 is 44342412432021.

12023421424344 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 3 + 4 + 214 + 2 + 434 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12023421424299 and 12023421424308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3041427 + ... + 5770365.

It is an arithmetic number, because the mean of its divisors is an integer number (370105665150).

Almost surely, 212023421424344 is an apocalyptic number.

It is an amenable number.

12023421424344 is an abundant number, since it is smaller than the sum of its proper divisors (23506722430056).

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

12023421424344 is a wasteful number, since it uses less digits than its factorization.

12023421424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734525 (or 2734518 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12023421424344 its reverse (44342412432021), we get a palindrome (56365833856365).

The spelling of 12023421424344 in words is "twelve trillion, twenty-three billion, four hundred twenty-one million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 5563 11126 16689 22252 33378 44504 50067 61193 66756 100134 122386 133512 183579 200268 244772 367158 400536 489544 550737 734316 1101474 1468632 2202948 2728939 4405896 5457878 8186817 10915756 16373634 21831512 24560451 30018329 32747268 49120902 60036658 65494536 90054987 98241804 120073316 180109974 196483608 240146632 270164961 360219948 540329922 720439896 1080659844 2161319688 15181087657 30362175314 45543262971 60724350628 91086525942 121448701256 136629788913 166991964227 182173051884 273259577826 333983928454 364346103768 500975892681 546519155652 667967856908 1001951785362 1093038311304 1335935713816 1502927678043 2003903570724 3005855356086 4007807141448 6011710712172 12023421424344