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12001231103120 = 2457292393092017
BaseRepresentation
bin1010111010100100000100…
…0111011110010010010000
31120111022021102121121210022
42232221001013132102100
53033112010130244440
641305142304523012
72346026460142310
oct256510107362220
946438242547708
1012001231103120
11390776a0a48a6
121419b04020468
1369093278417c
142d6c112c7440
1515c2a6051cb5
hexaea411de490

12001231103120 has 160 divisors (see below), whose sum is σ = 33126644044800. Its totient is φ = 3956197367808.

The previous prime is 12001231103083. The next prime is 12001231103137. The reversal of 12001231103120 is 2130113210021.

It is a super-3 number, since 3×120012311031203 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335352 + ... + 5427368.

It is an arithmetic number, because the mean of its divisors is an integer number (207041525280).

Almost surely, 212001231103120 is an apocalyptic number.

12001231103120 is a gapful number since it is divisible by the number (10) 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 12001231103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16563322022400).

12001231103120 is an abundant number, since it is smaller than the sum of its proper divisors (21125412941680).

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

12001231103120 is a wasteful number, since it uses less digits than its factorization.

12001231103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092305 (or 3092299 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12001231103120 its reverse (2130113210021), we get a palindrome (14131344313141).

The spelling of 12001231103120 in words is "twelve trillion, one billion, two hundred thirty-one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 239 280 290 406 464 478 560 580 812 956 1015 1160 1195 1624 1673 1912 2030 2320 2390 3248 3346 3824 4060 4780 6692 6931 8120 8365 9560 13384 13862 16240 16730 19120 26768 27724 33460 34655 48517 55448 66920 69310 97034 110896 133840 138620 194068 242585 277240 388136 485170 554480 776272 970340 1940680 3092017 3881360 6184034 12368068 15460085 21644119 24736136 30920170 43288238 49472272 61840340 86576476 89668493 108220595 123680680 173152952 179336986 216441190 247361360 346305904 358673972 432882380 448342465 627679451 717347944 738992063 865764760 896684930 1255358902 1434695888 1477984126 1731529520 1793369860 2510717804 2955968252 3138397255 3586739720 3694960315 5021435608 5172944441 5911936504 6276794510 7173479440 7389920630 10042871216 10345888882 11823873008 12553589020 14779841260 20691777764 21430769827 25107178040 25864722205 29559682520 41383555528 42861539654 50214356080 51729444410 59119365040 82767111056 85723079308 103458888820 107153849135 150015388789 171446158616 206917777640 214307698270 300030777578 342892317232 413835555280 428615396540 600061555156 750076943945 857230793080 1200123110312 1500153887890 1714461586160 2400246220624 3000307775780 6000615551560 12001231103120