Search a number
-
+
12022012201120 = 25582099153073
BaseRepresentation
bin1010111011110001011111…
…0001000100100010100000
31120120021220200220210001121
42232330113301010202200
53033432040110413440
641322500335542024
72350363445435665
oct256742761044240
946507820823047
1012022012201120
113915563524359
121421b4368a914
13692894c2426c
142d7c23217a6c
1515cac065e34a
hexaef17c448a0

12022012201120 has 48 divisors (see below), whose sum is σ = 28405466790120. Its totient is φ = 4808218558464.

The previous prime is 12022012201099. The next prime is 12022012201181. The reversal of 12022012201120 is 2110221022021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7051127916816 + 4970884284304 = 2655396^2 + 2229548^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12022012201094 and 12022012201103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3263097 + ... + 5889976.

Almost surely, 212022012201120 is an apocalyptic number.

12022012201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022012201120 is an abundant number, since it is smaller than the sum of its proper divisors (16383454589000).

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

12022012201120 is an equidigital number, since it uses as much as digits as its factorization.

12022012201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9161297 (or 9161289 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12022012201120 its reverse (2110221022021), we get a palindrome (14132233223141).

The spelling of 12022012201120 in words is "twelve trillion, twenty-two billion, twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8209 16418 32836 41045 65672 82090 131344 164180 262688 328360 656720 1313440 9153073 18306146 36612292 45765365 73224584 91530730 146449168 183061460 292898336 366122920 732245840 1464491680 75137576257 150275152514 300550305028 375687881285 601100610056 751375762570 1202201220112 1502751525140 2404402440224 3005503050280 6011006100560 12022012201120