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12012021212000 = 255329103551907
BaseRepresentation
bin1010111011001100010001…
…0000011110001101100000
31120112100010102002221112112
42232303010100132031200
53033301104412241000
641314125114214452
72346561040433555
oct256630420361540
946470112087475
1012012021212000
1139112a6904357
121420015724428
13691962070394
142d755635ca2c
1515c6d8481235
hexaecc441e360

12012021212000 has 96 divisors (see below), whose sum is σ = 30531244554720. Its totient is φ = 4639125388800.

The previous prime is 12012021211999. The next prime is 12012021212057. The reversal of 12012021212000 is 21212021021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51659954 + ... + 51891953.

It is an arithmetic number, because the mean of its divisors is an integer number (318033797445).

Almost surely, 212012021212000 is an apocalyptic number.

12012021212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012021212000 is an abundant number, since it is smaller than the sum of its proper divisors (18519223342720).

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

12012021212000 is a wasteful number, since it uses less digits than its factorization.

12012021212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103551961 (or 103551943 counting only the distinct ones).

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

Adding to 12012021212000 its reverse (21212021021), we get a palindrome (12033233233021).

The spelling of 12012021212000 in words is "twelve trillion, twelve billion, twenty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 116000 103551907 207103814 414207628 517759535 828415256 1035519070 1656830512 2071038140 2588797675 3003005303 3313661024 4142076280 5177595350 6006010606 8284152560 10355190700 12012021212 12943988375 15015026515 16568305120 20710381400 24024042424 25887976750 30030053030 41420762800 48048084848 51775953500 60060106060 75075132575 82841525600 96096169696 103551907000 120120212120 150150265150 207103814000 240240424240 300300530300 375375662875 414207628000 480480848480 600601060600 750751325750 1201202121200 1501502651500 2402404242400 3003005303000 6006010606000 12012021212000