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12001231310112 = 25321137102385607
BaseRepresentation
bin1010111010100100000100…
…1000010000110100100000
31120111022021110000010201200
42232221001020100310200
53033112010203410422
641305142313201200
72346026461663632
oct256510110206440
946438243003650
1012001231310112
11390776a226370
121419b04100200
13690932827455
142d6c1133ca52
1515c2a60932ac
hexaea41210d20

12001231310112 has 144 divisors (see below), whose sum is σ = 38237338706112. Its totient is φ = 3538446543360.

The previous prime is 12001231310071. The next prime is 12001231310143. The reversal of 12001231310112 is 21101313210021.

12001231310112 is a `hidden beast` number, since 1 + 200 + 12 + 31 + 310 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 51075588 + ... + 51310019.

It is an arithmetic number, because the mean of its divisors is an integer number (265537074348).

Almost surely, 212001231310112 is an apocalyptic number.

12001231310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001231310112 is an abundant number, since it is smaller than the sum of its proper divisors (26236107396000).

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

12001231310112 is a wasteful number, since it uses less digits than its factorization.

12001231310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102385671 (or 102385660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12001231310112 its reverse (21101313210021), we get a palindrome (33102544520133).

The spelling of 12001231310112 in words is "twelve trillion, one billion, two hundred thirty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 176 198 222 264 288 296 333 352 396 407 444 528 592 666 792 814 888 1056 1184 1221 1332 1584 1628 1776 2442 2664 3168 3256 3552 3663 4884 5328 6512 7326 9768 10656 13024 14652 19536 29304 39072 58608 117216 102385607 204771214 307156821 409542428 614313642 819084856 921470463 1126241677 1228627284 1638169712 1842940926 2252483354 2457254568 3276339424 3378725031 3685881852 3788267459 4504966708 4914509136 6757450062 7371763704 7576534918 9009933416 9829018272 10136175093 11364802377 13514900124 14743527408 15153069836 18019866832 20272350186 22729604754 27029800248 29487054816 30306139672 34094407131 36039733664 40544700372 41670942049 45459209508 54059600496 60612279344 68188814262 81089400744 83341884098 90918419016 108119200992 121224558688 125012826147 136377628524 162178801488 166683768196 181836838032 250025652294 272755257048 324357602976 333367536392 363673676064 375038478441 500051304588 545510514096 666735072784 750076956882 1000102609176 1091021028192 1333470145568 1500153913764 2000205218352 3000307827528 4000410436704 6000615655056 12001231310112