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201220210001200 = 24521391942106849
BaseRepresentation
bin101101110000001000111011…
…001000111000010100110000
3222101110110112102000121021211
4231300020323020320110300
5202333242442230014300
61551543142140325504
760245452246225045
oct5560107310702460
9871413472017254
10201220210001200
115912a014822475
121a6999a9243894
138837ca48caa80
14379917829b1cc
15183e2ed1784ba
hexb7023b238530

201220210001200 has 120 divisors (see below), whose sum is σ = 521185115108000. Its totient is φ = 74215846010880.

The previous prime is 201220210001099. The next prime is 201220210001201. The reversal of 201220210001200 is 2100012022102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (201220210001201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16274625 + ... + 25832224.

Almost surely, 2201220210001200 is an apocalyptic number.

201220210001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220210001200 is an abundant number, since it is smaller than the sum of its proper divisors (319964905106800).

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

201220210001200 is a wasteful number, since it uses less digits than its factorization.

201220210001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42107799 (or 42107788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201220210001200 its reverse (2100012022102), we get a palindrome (203320222023302).

The spelling of 201220210001200 in words is "two hundred one trillion, two hundred twenty billion, two hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 919 1040 1300 1838 2600 3676 4595 5200 7352 9190 11947 14704 18380 22975 23894 36760 45950 47788 59735 73520 91900 95576 119470 183800 191152 238940 298675 367600 477880 597350 955760 1194700 2389400 4778800 42106849 84213698 168427396 210534245 336854792 421068490 547389037 673709584 842136980 1052671225 1094778074 1684273960 2105342450 2189556148 2736945185 3368547920 4210684900 4379112296 5473890370 8421369800 8758224592 10947780740 13684725925 16842739600 21895561480 27369451850 38696194231 43791122960 54738903700 77392388462 109477807400 154784776924 193480971155 218955614800 309569553848 386961942310 503050525003 619139107696 773923884620 967404855775 1006101050006 1547847769240 1934809711550 2012202100012 2515252625015 3095695538480 3869619423100 4024404200024 5030505250030 7739238846200 8048808400048 10061010500060 12576263125075 15478477692400 20122021000120 25152526250150 40244042000240 50305052500300 100610105000600 201220210001200