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132112231201200 = 24352199553233799
BaseRepresentation
bin11110000010011111000110…
…100111000111100110110000
3122022202210202112122212202110
4132002133012213013212300
5114304011322141414300
61144551304323045320
736553536150526665
oct3602370647074660
9568683675585673
10132112231201200
1139105534399658
121299829ab10840
13589418c650743
14248a3a22b1a6c
1510418204a0550
hex7827c69c79b0

132112231201200 has 120 divisors (see below), whose sum is σ = 425326145440000. Its totient is φ = 35052893441280.

The previous prime is 132112231201199. The next prime is 132112231201241. The reversal of 132112231201200 is 2102132211231.

132112231201200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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, 276378100 + ... + 276855699.

Almost surely, 2132112231201200 is an apocalyptic number.

132112231201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132112231201200 is an abundant number, since it is smaller than the sum of its proper divisors (293213914238800).

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

132112231201200 is a wasteful number, since it uses less digits than its factorization.

132112231201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553234019 (or 553234008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132112231201200 its reverse (2102132211231), we get a palindrome (134214363412431).

The spelling of 132112231201200 in words is "one hundred thirty-two trillion, one hundred twelve billion, two hundred thirty-one million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 199 200 240 300 398 400 597 600 796 995 1194 1200 1592 1990 2388 2985 3184 3980 4776 4975 5970 7960 9552 9950 11940 14925 15920 19900 23880 29850 39800 47760 59700 79600 119400 238800 553233799 1106467598 1659701397 2212935196 2766168995 3319402794 4425870392 5532337990 6638805588 8298506985 8851740784 11064675980 13277611176 13830844975 16597013970 22129351960 26555222352 27661689950 33194027940 41492534925 44258703920 55323379900 66388055880 82985069850 110093526001 110646759800 132776111760 165970139700 220187052002 221293519600 330280578003 331940279400 440374104004 550467630005 660561156006 663880558800 880748208008 1100935260010 1321122312012 1651402890015 1761496416016 2201870520020 2642244624024 2752338150025 3302805780030 4403741040040 5284489248048 5504676300050 6605611560060 8257014450075 8807482080080 11009352600100 13211223120120 16514028900150 22018705200200 26422446240240 33028057800300 44037410400400 66056115600600 132112231201200