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12003255043512 = 23319293169286427
BaseRepresentation
bin1010111010101011100111…
…0000001100010110111000
31120111111111111000110001120
42232222321300030112320
53033130131242343022
641310115204545240
72346130564304205
oct256527160142670
946444444013046
1012003255043512
113908608603207
12141a3899b2220
13690b95b91335
142d6d64014cac
1515c373a92d5c
hexaeab9c0c5b8

12003255043512 has 128 divisors (see below), whose sum is σ = 32687163360000. Its totient is φ = 3658626994176.

The previous prime is 12003255043487. The next prime is 12003255043519. The reversal of 12003255043512 is 21534055230021.

12003255043512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003255043519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41763643 + ... + 42050069.

It is an arithmetic number, because the mean of its divisors is an integer number (255368463750).

Almost surely, 212003255043512 is an apocalyptic number.

12003255043512 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 12003255043512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343581680000).

12003255043512 is an abundant number, since it is smaller than the sum of its proper divisors (20683908316488).

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

12003255043512 is a wasteful number, since it uses less digits than its factorization.

12003255043512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289653 (or 289649 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 12003255043512 in words is "twelve trillion, three billion, two hundred fifty-five million, forty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1102 1653 2204 3169 3306 4408 6338 6612 9507 12676 13224 19014 25352 38028 60211 76056 91901 120422 180633 183802 240844 275703 286427 361266 367604 481688 551406 572854 722532 735208 859281 1102812 1145708 1445064 1718562 1746119 2205624 2291416 3437124 3492238 5238357 5442113 6874248 6984476 8306383 10476714 10884226 13968952 16326339 16612766 20953428 21768452 24919149 32652678 33225532 41906856 43536904 49838298 65305356 66451064 99676596 130610712 157821277 199353192 315642554 473463831 631285108 907687163 946927662 1262570216 1815374326 1893855324 2723061489 3630748652 3787710648 5446122978 7261497304 10892245956 17246056097 21784491912 26322927727 34492112194 51738168291 52645855454 68984224388 78968783181 103476336582 105291710908 137968448776 157937566362 206952673164 210583421816 315875132724 413905346328 500135626813 631750265448 1000271253626 1500406880439 2000542507252 3000813760878 4001085014504 6001627521756 12003255043512