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12201220001100 = 223521313272357587
BaseRepresentation
bin1011000110001101000101…
…1000100100110101001100
31121012102111000000021011210
42301203101120210311030
53044401044310013400
641541055121014420
72366336414550024
oct261432130446514
947172430007153
1012201220001100
113984565672979
121450817a84410
136a67546b6cb0
14302783b18a84
151625ad531950
hexb18d1624d4c

12201220001100 has 144 divisors (see below), whose sum is σ = 38046415651328. Its totient is φ = 3001112674560.

The previous prime is 12201220001021. The next prime is 12201220001119. The reversal of 12201220001100 is 110002210221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 3996507 + ... + 6354093.

Almost surely, 212201220001100 is an apocalyptic number.

12201220001100 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 12201220001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19023207825664).

12201220001100 is an abundant number, since it is smaller than the sum of its proper divisors (25845195650228).

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

12201220001100 is a wasteful number, since it uses less digits than its factorization.

12201220001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358944 (or 2358937 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12201220001100 its reverse (110002210221), we get a palindrome (12311222211321).

The spelling of 12201220001100 in words is "twelve trillion, two hundred one billion, two hundred twenty million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1327 1950 2654 3900 3981 5308 6635 7962 13270 15924 17251 19905 26540 33175 34502 39810 51753 66350 69004 79620 86255 99525 103506 132700 172510 199050 207012 258765 345020 398100 431275 517530 862550 1035060 1293825 1725100 2357587 2587650 4715174 5175300 7072761 9430348 11787935 14145522 23575870 28291044 30648631 35363805 47151740 58939675 61297262 70727610 91945893 117879350 122594524 141455220 153243155 176819025 183891786 235758700 306486310 353638050 367783572 459729465 612972620 707276100 766215775 919458930 1532431550 1838917860 2298647325 3064863100 3128517949 4597294650 6257035898 9194589300 9385553847 12514071796 15642589745 18771107694 31285179490 37542215388 40670733337 46927769235 62570358980 78212948725 81341466674 93855538470 122012200011 156425897450 162682933348 187711076940 203353666685 234638846175 244024400022 312851794900 406707333370 469277692350 488048800044 610061000055 813414666740 938555384700 1016768333425 1220122000110 2033536666850 2440244000220 3050305000275 4067073333700 6100610000550 12201220001100