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12000133401042 = 237921734194421
BaseRepresentation
bin1010111010011111111110…
…1100000100100111010010
31120111012102221002120121210
42232213333230010213102
53033102233122313132
641304441333200550
72345660330626563
oct256477754044722
946435387076553
1012000133401042
113907256509aa6
121419858490156
136907b9229407
142d6b495c616a
1515c23e9c1bcc
hexae9ffb049d2

12000133401042 has 96 divisors (see below), whose sum is σ = 24512314115520. Its totient is φ = 3916324663680.

The previous prime is 12000133401041. The next prime is 12000133401127. The reversal of 12000133401042 is 24010433100021.

It is not an unprimeable number, because it can be changed into a prime (12000133401041) 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, 2714345992 + ... + 2714350412.

It is an arithmetic number, because the mean of its divisors is an integer number (255336605370).

Almost surely, 212000133401042 is an apocalyptic number.

12000133401042 is an abundant number, since it is smaller than the sum of its proper divisors (12512180714478).

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

12000133401042 is a wasteful number, since it uses less digits than its factorization.

12000133401042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12000133401042 its reverse (24010433100021), we get a palindrome (36010566501063).

The spelling of 12000133401042 in words is "twelve trillion, one hundred thirty-three million, four hundred one thousand, forty-two".

Divisors: 1 2 3 6 79 158 173 237 346 419 474 519 838 1038 1257 2514 4421 6241 8842 12482 13263 13667 18723 26526 27334 33101 37446 41001 66202 72487 82002 99303 144974 198606 217461 349259 434922 698518 764833 1047777 1079693 1529666 1852399 2095554 2159386 2294499 2614979 3239079 3704798 4588998 5229958 5557197 5726473 6478158 7844937 11114394 11452946 15689874 17179419 27591461 34358838 55182922 60421807 82774383 120843614 146339521 165548766 181265421 292679042 320465027 362530842 439018563 452391367 640930054 878037126 904782734 961395081 1357174101 1922790162 2714348202 4773322753 9546645506 11560822159 14319968259 23121644318 25316737133 28639936518 34682466477 50633474266 69364932954 75950211399 151900422798 2000022233507 4000044467014 6000066700521 12000133401042