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12032001323300 = 22527127135343097
BaseRepresentation
bin1010111100010110101100…
…1010100011000100100100
31120121020200212012202121202
42233011223022203010210
53034113014314321200
641331231453302032
72351166131534120
oct257055312430444
946536625182552
1012032001323300
11391981a089732
121423a70a94918
136937c75a344a
142d84cdb48580
1515cea75be1d5
hexaf16b2a3124

12032001323300 has 72 divisors (see below), whose sum is σ = 30074319120384. Its totient is φ = 4092775223040.

The previous prime is 12032001323297. The next prime is 12032001323423. The reversal of 12032001323300 is 332310023021.

It is a super-2 number, since 2×120320013233002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 67582649 + ... + 67760448.

It is an arithmetic number, because the mean of its divisors is an integer number (417698876672).

Almost surely, 212032001323300 is an apocalyptic number.

12032001323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032001323300 is an abundant number, since it is smaller than the sum of its proper divisors (18042317797084).

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

12032001323300 is a wasteful number, since it uses less digits than its factorization.

12032001323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135343245 (or 135343238 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12032001323300 its reverse (332310023021), we get a palindrome (12364311346321).

The spelling of 12032001323300 in words is "twelve trillion, thirty-two billion, one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 127 140 175 254 350 508 635 700 889 1270 1778 2540 3175 3556 4445 6350 8890 12700 17780 22225 44450 88900 135343097 270686194 541372388 676715485 947401679 1353430970 1894803358 2706861940 3383577425 3789606716 4737008395 6767154850 9474016790 13534309700 17188573319 18948033580 23685041975 34377146638 47370083950 68754293276 85942866595 94740167900 120320013233 171885733190 240640026466 343771466380 429714332975 481280052932 601600066165 859428665950 1203200132330 1718857331900 2406400264660 3008000330825 6016000661650 12032001323300