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12231314521712 = 24111341239545551
BaseRepresentation
bin1011000111111101001100…
…1010000011111001110000
31121022022011100011022110022
42301333103022003321300
53100344213004143322
642002553251023012
72401453243010126
oct261772312037160
947268140138408
1012231314521712
1139962a91a5710
12145661659aa68
136a953c524840
14303dda929916
151632705cb942
hexb1fd3283e70

12231314521712 has 160 divisors (see below), whose sum is σ = 28639646945280. Its totient is φ = 4985890560000.

The previous prime is 12231314521609. The next prime is 12231314521717. The reversal of 12231314521712 is 21712541313221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231314521717) 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, 22147337 + ... + 22692887.

It is an arithmetic number, because the mean of its divisors is an integer number (178997793408).

Almost surely, 212231314521712 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 12231314521712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319823472640).

12231314521712 is an abundant number, since it is smaller than the sum of its proper divisors (16408332423568).

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

12231314521712 is a wasteful number, since it uses less digits than its factorization.

12231314521712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545863 (or 545857 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

Adding to 12231314521712 its reverse (21712541313221), we get a palindrome (33943855834933).

The spelling of 12231314521712 in words is "twelve trillion, two hundred thirty-one billion, three hundred fourteen million, five hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 143 164 176 208 239 286 328 451 478 533 572 656 902 956 1066 1144 1804 1912 2132 2288 2629 3107 3608 3824 4264 5258 5863 6214 7216 8528 9799 10516 11726 12428 19598 21032 23452 24856 34177 39196 42064 46904 49712 68354 78392 93808 107789 127387 136708 156784 215578 254774 273416 431156 509548 545551 546832 862312 1019096 1091102 1401257 1724624 2038192 2182204 2802514 4364408 5605028 6001061 7092163 8728816 11210056 12002122 14184326 22367591 22420112 24004244 28368652 44735182 48008488 56737304 78013793 89470364 96016976 113474608 130386689 156027586 178940728 246043501 260773378 290778683 312055172 357881456 492087002 521546756 581557366 624110344 984174004 1043093512 1163114732 1248220688 1434253579 1695026957 1968348008 2086187024 2326229464 2868507158 3198565513 3390053914 3936696016 4652458928 5345854249 5737014316 6397131026 6780107828 10691708498 11474028632 12794262052 13560215656 18645296527 21383416996 22948057264 25588524104 27120431312 37290593054 42766833992 51177048208 58804396739 69496105237 74581186108 85533667984 117608793478 138992210474 149162372216 235217586956 277984420948 298324744432 470435173912 555968841896 764457157607 940870347824 1111937683792 1528914315214 3057828630428 6115657260856 12231314521712