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12103220112000 = 27353252150419
BaseRepresentation
bin1011000000100000000000…
…1000101010101010000000
31120212001112012221002021120
42300020000020222222000
53041244343322041000
641424050443152240
72356300035334443
oct260100010525200
946761465832246
1012103220112000
113946a4624a796
121435827b15680
1369a437390234
142dbb2858165a
1515ec74bcc6a0
hexb020022aa80

12103220112000 has 128 divisors (see below), whose sum is σ = 40122174830400. Its totient is φ = 3227525350400.

The previous prime is 12103220111987. The next prime is 12103220112001. The reversal of 12103220112000 is 21102230121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12103220112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126027210 + ... + 126123209.

Almost surely, 212103220112000 is an apocalyptic number.

12103220112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103220112000 is an abundant number, since it is smaller than the sum of its proper divisors (28018954718400).

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

12103220112000 is an equidigital number, since it uses as much as digits as its factorization.

12103220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252150451 (or 252150429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12103220112000 its reverse (21102230121), we get a palindrome (12124322342121).

The spelling of 12103220112000 in words is "twelve trillion, one hundred three billion, two hundred twenty million, one hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 252150419 504300838 756451257 1008601676 1260752095 1512902514 2017203352 2521504190 3025805028 3782256285 4034406704 5043008380 6051610056 6303760475 7564512570 8068813408 10086016760 12103220112 12607520950 15129025140 16137626816 18911281425 20172033520 24206440224 25215041900 30258050280 31518802375 32275253632 37822562850 40344067040 48412880448 50430083800 60516100560 63037604750 75645125700 80688134080 94556407125 96825760896 100860167600 121032201120 126075209500 151290251400 161376268160 189112814250 201720335200 242064402240 252150419000 302580502800 378225628500 403440670400 484128804480 504300838000 605161005600 756451257000 806881340800 1008601676000 1210322011200 1512902514000 2017203352000 2420644022400 3025805028000 4034406704000 6051610056000 12103220112000