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12000121200012 = 2231129091909091
BaseRepresentation
bin1010111010011111111011…
…1101100001110110001100
31120111012102002010200221210
42232213332331201312030
53033102222011400022
641304440215454420
72345660122132221
oct256477675416614
946435362120853
1012000121200012
11390724a636200
121419854387410
136907b6846a7a
142d6b47b2b948
1515c23d8b1a0c
hexae9fef61d8c

12000121200012 has 72 divisors (see below), whose sum is σ = 30780589663936. Its totient is φ = 3635996364000.

The previous prime is 12000121199993. The next prime is 12000121200019. The reversal of 12000121200012 is 21000212100021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12000121200019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12745587 + ... + 13654677.

Almost surely, 212000121200012 is an apocalyptic number.

12000121200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000121200012 is an abundant number, since it is smaller than the sum of its proper divisors (18780468463924).

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

12000121200012 is a wasteful number, since it uses less digits than its factorization.

12000121200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918211 (or 918198 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

12000121200012 divided by its sum of digits (12) gives a palindrome (1000010100001).

Adding to 12000121200012 its reverse (21000212100021), we get a palindrome (33000333300033).

Subtracting 12000121200012 from its reverse (21000212100021), we obtain a palindrome (9000090900009).

The spelling of 12000121200012 in words is "twelve trillion, one hundred twenty-one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 9091 18182 27273 36364 54546 100001 109092 200002 300003 400004 600006 909091 1100011 1200012 1818182 2200022 2727273 3300033 3636364 4400044 5454546 6600066 10000001 10909092 13200132 20000002 30000003 40000004 60000006 110000011 120000012 220000022 330000033 440000044 660000066 1320000132 8264546281 16529092562 24793638843 33058185124 49587277686 90910009091 99174555372 181820018182 272730027273 363640036364 545460054546 1000010100001 1090920109092 2000020200002 3000030300003 4000040400004 6000060600006 12000121200012