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12011322113232 = 24313293311211241
BaseRepresentation
bin1010111011001001101010…
…0101100111110011010000
31120112021022200122001022120
42232302122211213303100
53033243141430110412
641313531502134240
72346534521255001
oct256623245476320
946467280561276
1012011322113232
113910a78220082
12141ba5b581380
13691880288280
142d74cb57b1a8
1515c696ddab8c
hexaec9a967cd0

12011322113232 has 160 divisors (see below), whose sum is σ = 33638135521536. Its totient is φ = 3671317401600.

The previous prime is 12011322113227. The next prime is 12011322113233. The reversal of 12011322113232 is 23231122311021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011322113233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56755132 + ... + 56966372.

Almost surely, 212011322113232 is an apocalyptic number.

12011322113232 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 12011322113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819067760768).

12011322113232 is an abundant number, since it is smaller than the sum of its proper divisors (21626813408304).

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

12011322113232 is a wasteful number, since it uses less digits than its factorization.

12011322113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211869 (or 211863 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12011322113232 its reverse (23231122311021), we get a palindrome (35242444424253).

The spelling of 12011322113232 in words is "twelve trillion, eleven billion, three hundred twenty-two million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 293 311 312 586 622 624 879 933 1172 1244 1758 1866 2344 2488 3516 3732 3809 4043 4688 4976 7032 7464 7618 8086 11427 12129 14064 14928 15236 16172 22854 24258 30472 32344 45708 48516 60944 64688 91123 91416 97032 182246 182832 194064 211241 273369 364492 422482 546738 633723 728984 844964 1093476 1184599 1267446 1457968 1689928 2186952 2369198 2534892 2746133 3379856 3553797 4373904 4738396 5069784 5492266 7107594 8238399 9476792 10139568 10984532 14215188 16476798 18953584 21969064 28430376 32953596 43938128 56860752 61893613 65695951 65907192 123787226 131391902 131814384 185680839 197087853 247574452 262783804 371361678 394175706 495148904 525567608 742723356 788351412 804616969 854047363 990297808 1051135216 1485446712 1576702824 1609233938 1708094726 2413850907 2562142089 2970893424 3153405648 3218467876 3416189452 4827701814 5124284178 6436935752 6832378904 9655403628 10248568356 12873871504 13664757808 19248913643 19310807256 20497136712 38497827286 38621614512 40994273424 57746740929 76995654572 115493481858 153991309144 230986963716 250235877359 307982618288 461973927432 500471754718 750707632077 923947854864 1000943509436 1501415264154 2001887018872 3002830528308 4003774037744 6005661056616 12011322113232