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12012212100200 = 2352134620081577
BaseRepresentation
bin1010111011001100111110…
…1000101001110001101000
31120112100121201022001220212
42232303033220221301220
53033302002244201300
641314200053440252
72346565546111124
oct256631750516150
946470551261825
1012012212100200
1139113946334a4
121420069640088
13691992787190
142d757384c584
1515c6ea0da935
hexaeccfa29c68

12012212100200 has 48 divisors (see below), whose sum is σ = 30076731072780. Its totient is φ = 4435278312960.

The previous prime is 12012212100137. The next prime is 12012212100211. The reversal of 12012212100200 is 200121221021.

It can be written as a sum of positive squares in 6 ways, for example, as 2795122547044 + 9217089553156 = 1671862^2 + 3035966^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2310038189 + ... + 2310043388.

Almost surely, 212012212100200 is an apocalyptic number.

12012212100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012212100200 is an abundant number, since it is smaller than the sum of its proper divisors (18064518972580).

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

12012212100200 is a wasteful number, since it uses less digits than its factorization.

12012212100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620081606 (or 4620081597 counting only the distinct ones).

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

Adding to 12012212100200 its reverse (200121221021), we get a palindrome (12212333321221).

The spelling of 12012212100200 in words is "twelve trillion, twelve billion, two hundred twelve million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4620081577 9240163154 18480326308 23100407885 36960652616 46200815770 60061060501 92401631540 115502039425 120122121002 184803263080 231004078850 240244242004 300305302505 462008157700 480488484008 600610605010 924016315400 1201221210020 1501526512525 2402442420040 3003053025050 6006106050100 12012212100200