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12000201211220 = 2254161239908061
BaseRepresentation
bin1010111010100000001110…
…1110101111110101010100
31120111012121122200200200212
42232220003232233311110
53033102403002224340
641304452154424552
72345662113203105
oct256500356576524
946435548620625
1012000201211220
113907290814872
121419877132158
136907ca2ac291
142d6b545d83ac
1515c245918a65
hexaea03bafd54

12000201211220 has 48 divisors (see below), whose sum is σ = 26238264924816. Its totient is φ = 4606234752000.

The previous prime is 12000201211199. The next prime is 12000201211291. The reversal of 12000201211220 is 2211210200021.

It can be written as a sum of positive squares in 8 ways, for example, as 7892031644176 + 4108169567044 = 2809276^2 + 2026862^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12000201211195 and 12000201211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119904011 + ... + 120004050.

It is an arithmetic number, because the mean of its divisors is an integer number (546630519267).

Almost surely, 212000201211220 is an apocalyptic number.

12000201211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000201211220 is an abundant number, since it is smaller than the sum of its proper divisors (14238063713596).

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

12000201211220 is a wasteful number, since it uses less digits than its factorization.

12000201211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239908172 (or 239908170 counting only the distinct ones).

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

Adding to 12000201211220 its reverse (2211210200021), we get a palindrome (14211411411241).

The spelling of 12000201211220 in words is "twelve trillion, two hundred one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2501 5002 10004 12505 25010 50020 239908061 479816122 959632244 1199540305 2399080610 4798161220 9836230501 14634391721 19672461002 29268783442 39344922004 49181152505 58537566884 73171958605 98362305010 146343917210 196724610020 292687834420 600010060561 1200020121122 2400040242244 3000050302805 6000100605610 12000201211220