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12002210012200 = 2352193158476319
BaseRepresentation
bin1010111010100111101101…
…1101101101110000101000
31120111101210122121100121011
42232221323131231300220
53033121011230342300
641305423354153304
72346062644551532
oct256517335556050
946441718540534
1012002210012200
113908121722771
12141a137a22834
13690a5a518505
142d6ca5304852
1515c311e68eba
hexaea7b76dc28

12002210012200 has 48 divisors (see below), whose sum is σ = 29373829776000. Its totient is φ = 4548205897920.

The previous prime is 12002210012153. The next prime is 12002210012213. The reversal of 12002210012200 is 221001220021.

It is a happy number.

It is a super-3 number, since 3×120022100122003 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1579234360 + ... + 1579241959.

It is an arithmetic number, because the mean of its divisors is an integer number (611954787000).

Almost surely, 212002210012200 is an apocalyptic number.

12002210012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002210012200 is an abundant number, since it is smaller than the sum of its proper divisors (17371619763800).

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

12002210012200 is a wasteful number, since it uses less digits than its factorization.

12002210012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158476354 (or 3158476345 counting only the distinct ones).

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

Adding to 12002210012200 its reverse (221001220021), we get a palindrome (12223211232221).

The spelling of 12002210012200 in words is "twelve trillion, two billion, two hundred ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 3158476319 6316952638 12633905276 15792381595 25267810552 31584763190 60011050061 63169526380 78961907975 120022100122 126339052760 157923815950 240044200244 300055250305 315847631900 480088400488 600110500610 631695263800 1200221001220 1500276251525 2400442002440 3000552503050 6001105006100 12002210012200