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12123003312 = 2432721156999
BaseRepresentation
bin10110100101001011…
…00101100110110000
31011021212120101011200
423102211211212300
5144311442101222
65322542011200
7606263553660
oct132245454660
934255511150
1012123003312
115161134902
122423b76b00
1311b27a0754
148300ba1a0
154ae46aeac
hex2d29659b0

12123003312 has 120 divisors (see below), whose sum is σ = 38958816000. Its totient is φ = 3447239040.

The previous prime is 12123003271. The next prime is 12123003317. The reversal of 12123003312 is 21330032121.

12123003312 is a `hidden beast` number, since 121 + 230 + 0 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12123003317) 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, 184189 + ... + 241187.

It is an arithmetic number, because the mean of its divisors is an integer number (324656800).

Almost surely, 212123003312 is an apocalyptic number.

12123003312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19479408000).

12123003312 is an abundant number, since it is smaller than the sum of its proper divisors (26835812688).

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

12123003312 is a wasteful number, since it uses less digits than its factorization.

12123003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57231 (or 57222 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12123003312 its reverse (21330032121), we get a palindrome (33453035433).

The spelling of 12123003312 in words is "twelve billion, one hundred twenty-three million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 211 252 336 422 504 633 844 1008 1266 1477 1688 1899 2532 2954 3376 3798 4431 5064 5908 7596 8862 10128 11816 13293 15192 17724 23632 26586 30384 35448 53172 56999 70896 106344 113998 170997 212688 227996 341994 398993 455992 512991 683988 797986 911984 1025982 1196979 1367976 1595972 2051964 2393958 2735952 3191944 3590937 4103928 4787916 6383888 7181874 8207856 9575832 12026789 14363748 19151664 24053578 28727496 36080367 48107156 57454992 72160734 84187523 96214312 108241101 144321468 168375046 192428624 216482202 252562569 288642936 336750092 432964404 505125138 577285872 673500184 757687707 865928808 1010250276 1347000368 1515375414 1731857616 2020500552 3030750828 4041001104 6061501656 12123003312