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12000020001220 = 2251012262122441
BaseRepresentation
bin1010111010011111100011…
…1011011111000111000100
31120111012011000201021022101
42232213320323133013010
53033102020110014340
641304422202441444
72345654453015056
oct256477073370704
946435130637271
1012000020001220
1139071a84a6039
121419826503284
1369079b8a3724
142d6b385078d6
1515c234a71c9a
hexae9f8edf1c4

12000020001220 has 72 divisors (see below), whose sum is σ = 25462863130824. Its totient is φ = 4750458240000.

The previous prime is 12000020001199. The next prime is 12000020001239. The reversal of 12000020001220 is 2210002000021.

It can be written as a sum of positive squares in 12 ways, for example, as 225180036 + 11999794821184 = 15006^2 + 3464072^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12000020001197 and 12000020001206.

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, 534725200 + ... + 534747640.

It is an arithmetic number, because the mean of its divisors is an integer number (353650876817).

Almost surely, 212000020001220 is an apocalyptic number.

12000020001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000020001220 is an abundant number, since it is smaller than the sum of its proper divisors (13462843129604).

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

12000020001220 is a wasteful number, since it uses less digits than its factorization.

12000020001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25273 (or 25170 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000020001220 its reverse (2210002000021), we get a palindrome (14210022001241).

The spelling of 12000020001220 in words is "twelve trillion, twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 2621 5242 10201 10484 13105 20402 22441 26210 40804 44882 51005 52420 89764 102010 112205 204020 224410 264721 448820 529442 1058884 1323605 2266541 2647210 4533082 5294420 9066164 11332705 22665410 26736821 45330820 53473642 58817861 106947284 117635722 133684105 228920641 235271444 267368210 294089305 457841282 534736420 588178610 915682564 1144603205 1176357220 2289206410 4578412820 5940603961 11881207922 23762415844 29703019805 59406039610 118812079220 600001000061 1200002000122 2400004000244 3000005000305 6000010000610 12000020001220