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12000355311120 = 24351110145005833
BaseRepresentation
bin1010111010100000110011…
…1010100101111000010000
31120111020000101122210000120
42232220030322211320100
53033103211424423440
641304515341350240
72345665664060001
oct256501472457020
946436011583016
1012000355311120
11390735a7a7360
1214198ba868380
136908231b5357
142d6b6ac6d1a8
1515c254207dd0
hexaea0cea5e10

12000355311120 has 160 divisors (see below), whose sum is σ = 40984832767104. Its totient is φ = 2880373248000.

The previous prime is 12000355311053. The next prime is 12000355311137. The reversal of 12000355311120 is 2111355300021.

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, 22236277 + ... + 22769556.

Almost surely, 212000355311120 is an apocalyptic number.

12000355311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000355311120 is an abundant number, since it is smaller than the sum of its proper divisors (28984477455984).

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

12000355311120 is a wasteful number, since it uses less digits than its factorization.

12000355311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45005961 (or 45005955 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 12000355311120 in words is "twelve trillion, three hundred fifty-five million, three hundred eleven 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 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 16665 17776 22220 24240 26664 33330 44440 53328 66660 88880 133320 266640 45005833 90011666 135017499 180023332 225029165 270034998 360046664 450058330 495064163 540069996 675087495 720093328 900116660 990128326 1080139992 1350174990 1485192489 1800233320 1980256652 2160279984 2475320815 2700349980 2970384978 3600466640 3960513304 4545589133 4950641630 5400699960 5940769956 7425962445 7921026608 9091178266 9901283260 10801399920 11881539912 13636767399 14851924890 18182356532 19802566520 22727945665 23763079824 27273534798 29703849780 36364713064 39605133040 45455891330 50001480463 54547069596 59407699560 68183836995 72729426128 90911782660 100002960926 109094139192 118815399120 136367673990 150004441389 181823565320 200005921852 218188278384 250007402315 272735347980 300008882778 363647130640 400011843704 500014804630 545470695960 600017765556 750022206945 800023687408 1000029609260 1090941391920 1200035531112 1500044413890 2000059218520 2400071062224 3000088827780 4000118437040 6000177655560 12000355311120