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12012233331120 = 24351131911425913
BaseRepresentation
bin1010111011001101000011…
…1001101001000110110000
31120112100200012020201021020
42232303100321221012300
53033302023213043440
641314202132455440
72346566224424631
oct256632071510660
946470605221236
1012012233331120
1139113a5614610
12142007477a580
13691996cab959
142d75765b7888
1515c6ebdd13d0
hexaecd0e691b0

12012233331120 has 160 divisors (see below), whose sum is σ = 40635948132864. Its totient is φ = 2911141939200.

The previous prime is 12012233331017. The next prime is 12012233331139. The reversal of 12012233331120 is 2113333221021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7711284 + ... + 9137196.

Almost surely, 212012233331120 is an apocalyptic number.

12012233331120 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 12012233331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317974066432).

12012233331120 is an abundant number, since it is smaller than the sum of its proper divisors (28623714801744).

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

12012233331120 is a wasteful number, since it uses less digits than its factorization.

12012233331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429131 (or 1429125 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12012233331120 its reverse (2113333221021), we get a palindrome (14125566552141).

The spelling of 12012233331120 in words is "twelve trillion, twelve billion, two hundred thirty-three million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3191 6382 9573 12764 15955 19146 25528 31910 35101 38292 47865 51056 63820 70202 76584 95730 105303 127640 140404 153168 175505 191460 210606 255280 280808 351010 382920 421212 526515 561616 702020 765840 842424 1053030 1404040 1425913 1684848 2106060 2808080 2851826 4212120 4277739 5703652 7129565 8424240 8555478 11407304 14259130 15685043 17110956 21388695 22814608 28518260 31370086 34221912 42777390 47055129 57036520 62740172 68443824 78425215 85554780 94110258 114073040 125480344 156850430 171109560 188220516 235275645 250960688 313700860 342219120 376441032 470551290 627401720 752882064 941102580 1254803440 1882205160 3764410320 4550088383 9100176766 13650265149 18200353532 22750441915 27300530298 36400707064 45500883830 50050972213 54601060596 68251325745 72801414128 91001767660 100101944426 109202121192 136502651490 150152916639 182003535320 200203888852 218404242384 250254861065 273005302980 300305833278 364007070640 400407777704 500509722130 546010605960 600611666556 750764583195 800815555408 1001019444260 1092021211920 1201223333112 1501529166390 2002038888520 2402446666224 3003058332780 4004077777040 6006116665560 12012233331120