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12201202202000 = 245373472511569
BaseRepresentation
bin1011000110001101000001…
…0100101011010110010000
31121012102102202111222101212
42301203100110223112100
53044401030230431000
641541053243315252
72366336110345430
oct261432024532620
947172382458355
1012201202202000
113984556616179
121450811b1bb28
136a6750ac4596
143027816042c0
151625abbb7c35
hexb18d052b590

12201202202000 has 160 divisors (see below), whose sum is σ = 33814331815680. Its totient is φ = 4171212134400.

The previous prime is 12201202201963. The next prime is 12201202202041. The reversal of 12201202202000 is 20220210221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3602216 + ... + 6113784.

It is an arithmetic number, because the mean of its divisors is an integer number (211339573848).

Almost surely, 212201202202000 is an apocalyptic number.

12201202202000 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 12201202202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16907165907840).

12201202202000 is an abundant number, since it is smaller than the sum of its proper divisors (21613129613680).

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

12201202202000 is a wasteful number, since it uses less digits than its factorization.

12201202202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511946 (or 2511930 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12201202202000 its reverse (20220210221), we get a palindrome (12221422412221).

The spelling of 12201202202000 in words is "twelve trillion, two hundred one billion, two hundred two million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 347 350 400 500 560 694 700 875 1000 1388 1400 1735 1750 2000 2429 2776 2800 3470 3500 4858 5552 6940 7000 8675 9716 12145 13880 14000 17350 19432 24290 27760 34700 38864 43375 48580 60725 69400 86750 97160 121450 138800 173500 194320 242900 303625 347000 485800 607250 694000 971600 1214500 2429000 2511569 4858000 5023138 10046276 12557845 17580983 20092552 25115690 35161966 40185104 50231380 62789225 70323932 87904915 100462760 125578450 140647864 175809830 200925520 251156900 281295728 313946125 351619660 439524575 502313800 627892250 703239320 871514443 879049150 1004627600 1255784500 1406478640 1743028886 1758098300 2197622875 2511569000 3486057772 3516196600 4357572215 4395245750 5023138000 6100601101 6972115544 7032393200 8715144430 8790491500 12201202202 13944231088 17430288860 17580983000 21787861075 24402404404 30503005505 34860577720 35161966000 43575722150 48804808808 61006011010 69721155440 87151444300 97609617616 108939305375 122012022020 152515027525 174302888600 217878610750 244024044040 305030055050 348605777200 435757221500 488048088080 610060110100 762575137625 871514443000 1220120220200 1525150275250 1743028886000 2440240440400 3050300550500 6100601101000 12201202202000