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12012122121200 = 2452174117248883
BaseRepresentation
bin1010111011001100101001…
…0001011010001111110000
31120112100101102222122221022
42232303022101122033300
53033301311230334300
641314143121115012
72346563404233515
oct256631221321760
946470342878838
1012012122121200
113911348866993
121420043488a68
13691979c41976
142d756590930c
1515c6e2265285
hexaecca45a3f0

12012122121200 has 60 divisors (see below), whose sum is σ = 28875701246808. Its totient is φ = 4802088748800.

The previous prime is 12012122121199. The next prime is 12012122121217. The reversal of 12012122121200 is 212122121021.

12012122121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 7928042 + ... + 9320841.

Almost surely, 212012122121200 is an apocalyptic number.

12012122121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012122121200 is an abundant number, since it is smaller than the sum of its proper divisors (16863579125608).

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

12012122121200 is a wasteful number, since it uses less digits than its factorization.

12012122121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17250642 (or 17250631 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12012122121200 its reverse (212122121021), we get a palindrome (12224244242221).

The spelling of 12012122121200 in words is "twelve trillion, twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1741 3482 6964 8705 13928 17410 27856 34820 43525 69640 87050 139280 174100 348200 696400 17248883 34497766 68995532 86244415 137991064 172488830 275982128 344977660 431222075 689955320 862444150 1379910640 1724888300 3449776600 6899553200 30030305303 60060610606 120121221212 150151526515 240242442424 300303053030 480484884848 600606106060 750757632575 1201212212120 1501515265150 2402424424240 3003030530300 6006061060600 12012122121200