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12010220121200 = 245277954295751
BaseRepresentation
bin1010111011000101100011…
…1001110110110001110000
31120112011110220001001102212
42232301120321312301300
53033233412322334300
641313230254431252
72346465310424150
oct256613071666160
946464426031385
1012010220121200
113910562175164
12141b7b2502528
13691735b8a992
142d7425080760
1515c6302ae935
hexaec58e76c70

12010220121200 has 120 divisors (see below), whose sum is σ = 33394059310080. Its totient is φ = 4065665760000.

The previous prime is 12010220121199. The next prime is 12010220121203. The reversal of 12010220121200 is 212102201021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010220121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26926676 + ... + 27369075.

It is an arithmetic number, because the mean of its divisors is an integer number (278283827584).

Almost surely, 212010220121200 is an apocalyptic number.

12010220121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010220121200 is an abundant number, since it is smaller than the sum of its proper divisors (21383839188880).

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

12010220121200 is a wasteful number, since it uses less digits than its factorization.

12010220121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54295855 (or 54295844 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12010220121200 its reverse (212102201021), we get a palindrome (12222322322221).

The spelling of 12010220121200 in words is "twelve trillion, ten billion, two hundred twenty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 79 80 100 112 140 158 175 200 280 316 350 395 400 553 560 632 700 790 1106 1264 1400 1580 1975 2212 2765 2800 3160 3950 4424 5530 6320 7900 8848 11060 13825 15800 22120 27650 31600 44240 55300 110600 221200 54295751 108591502 217183004 271478755 380070257 434366008 542957510 760140514 868732016 1085915020 1357393775 1520281028 1900351285 2171830040 2714787550 3040562056 3800702570 4289364329 4343660080 5429575100 6081124112 7601405140 8578728658 9501756425 10859150200 15202810280 17157457316 19003512850 21446821645 21718300400 30025550303 30405620560 34314914632 38007025700 42893643290 60051100606 68629829264 76014051400 85787286580 107234108225 120102201212 150127751515 152028102800 171574573160 214468216450 240204402424 300255503030 343149146320 428936432900 480408804848 600511006060 750638757575 857872865800 1201022012120 1501277515150 1715745731600 2402044024240 3002555030300 6005110060600 12010220121200