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12021002313012 = 223271118043240347
BaseRepresentation
bin1010111011101101101110…
…0100101001110100110100
31120120012022022122011000100
42232323123210221310310
53033423003043004022
641322212222314100
72350326433512540
oct256733344516464
946505268564010
1012021002313012
113915095467490
121421901428930
13692763934434
142d7b69054a20
1515ca61b781ac
hexaeedb929d34

12021002313012 has 144 divisors (see below), whose sum is σ = 37886628229632. Its totient is φ = 3122152223040.

The previous prime is 12021002313011. The next prime is 12021002313107. The reversal of 12021002313012 is 21031320012021.

12021002313012 is a `hidden beast` number, since 120 + 2 + 10 + 0 + 231 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021002313011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49895023 + ... + 50135369.

It is an arithmetic number, because the mean of its divisors is an integer number (263101584928).

Almost surely, 212021002313012 is an apocalyptic number.

12021002313012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12021002313012 is an abundant number, since it is smaller than the sum of its proper divisors (25865625916620).

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

12021002313012 is a wasteful number, since it uses less digits than its factorization.

12021002313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258418 (or 258413 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12021002313012 its reverse (21031320012021), we get a palindrome (33052322325033).

The spelling of 12021002313012 in words is "twelve trillion, twenty-one billion, two million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 18043 36086 54129 72172 108258 126301 162387 198473 216516 240347 252602 324774 378903 396946 480694 505204 595419 649548 721041 757806 793892 961388 1136709 1190838 1389311 1442082 1515612 1682429 1786257 2163123 2273418 2381676 2643817 2778622 2884164 3364858 3572514 4167933 4326246 4546836 5047287 5287634 5557244 6729716 7145028 7931451 8335866 8652492 10094574 10575268 12503799 15141861 15862902 16671732 18506719 20189148 23794353 25007598 30283722 31725804 37013438 47588706 50015196 55520157 60567444 74026876 95177412 111040314 166560471 222080628 333120942 666241884 4336580921 8673161842 13009742763 17346323684 26019485526 30356066447 39029228289 47702390131 52038971052 60712132894 78058456578 91068199341 95404780262 121424265788 143107170393 156116913156 182136398682 190809560524 273204598023 286214340786 333916730917 364272797364 429321511179 546409196046 572428681572 667833461834 858643022358 1001750192751 1092818392092 1335666923668 1717286044716 2003500385502 3005250578253 4007000771004 6010501156506 12021002313012