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12012122120985 = 325765957866041
BaseRepresentation
bin1010111011001100101001…
…0001011010001100011001
31120112100101102222122122100
42232303022101122030121
53033301311230332420
641314143121114013
72346563404233060
oct256631221321431
946470342878570
1012012122120985
113911348866808
121420043488909
13691979c4183c
142d75659091d7
1515c6e2265190
hexaecca45a319

12012122120985 has 48 divisors (see below), whose sum is σ = 23831550737280. Its totient is φ = 5482923022080.

The previous prime is 12012122120983. The next prime is 12012122120989. The reversal of 12012122120985 is 58902122121021.

12012122120985 is a `hidden beast` number, since 1 + 201 + 21 + 221 + 209 + 8 + 5 = 666.

It is not a de Polignac number, because 12012122120985 - 21 = 12012122120983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12012122120981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28725436 + ... + 29140605.

It is an arithmetic number, because the mean of its divisors is an integer number (496490640360).

Almost surely, 212012122120985 is an apocalyptic number.

12012122120985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12012122120985 is a deficient number, since it is larger than the sum of its proper divisors (11819428616295).

12012122120985 is a wasteful number, since it uses less digits than its factorization.

12012122120985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57866718 (or 57866715 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 12012122120985 its sum of digits (36), we get a palindrome (12012122121021).

The spelling of 12012122120985 in words is "twelve trillion, twelve billion, one hundred twenty-two million, one hundred twenty thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 659 1977 3295 4613 5931 9885 13839 23065 29655 41517 69195 207585 57866041 173598123 289330205 405062287 520794369 867990615 1215186861 2025311435 2603971845 3645560583 6075934305 18227802915 38133721019 114401163057 190668605095 266936047133 343203489171 572005815285 800808141399 1334680235665 1716017445855 2402424424197 4004040706995 12012122120985