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12122004408 = 23319291376691
BaseRepresentation
bin10110100101000011…
…10001101110111000
31011021210200121221020
423102201301232320
5144311213120113
65322504342440
7606252223503
oct132241615670
934253617836
1012122004408
115160612368
122423774a20
1311b2510b97
1482dcda13a
154ae320023
hex2d2871bb8

12122004408 has 128 divisors (see below), whose sum is σ = 33245856000. Its totient is φ = 3668474880.

The previous prime is 12122004407. The next prime is 12122004421. The reversal of 12122004408 is 80440022121.

12122004408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122004403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1808343 + ... + 1815033.

It is an arithmetic number, because the mean of its divisors is an integer number (259733250).

Almost surely, 212122004408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122004408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16622928000).

12122004408 is an abundant number, since it is smaller than the sum of its proper divisors (21123851592).

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

12122004408 is a wasteful number, since it uses less digits than its factorization.

12122004408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12122004408 its reverse (80440022121), we get a palindrome (92562026529).

The spelling of 12122004408 in words is "twelve billion, one hundred twenty-two million, four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 137 152 174 228 232 274 348 411 456 548 551 696 822 1096 1102 1644 1653 2204 2603 3288 3306 3973 4408 5206 6612 6691 7809 7946 10412 11919 13224 13382 15618 15892 20073 20824 23838 26764 31236 31784 40146 47676 53528 62472 75487 80292 95352 127129 150974 160584 194039 226461 254258 301948 381387 388078 452922 508516 582117 603896 762774 776156 905844 916667 1017032 1164234 1525548 1552312 1811688 1833334 2328468 2750001 3051096 3666668 3686741 4656936 5500002 7333336 7373482 11000004 11060223 14746964 17416673 22000008 22120446 26583343 29493928 34833346 44240892 52250019 53166686 69666692 79750029 88481784 104500038 106333372 139333384 159500058 209000076 212666744 319000116 418000152 505083517 638000232 1010167034 1515250551 2020334068 3030501102 4040668136 6061002204 12122004408