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12080235600 = 2432523355621
BaseRepresentation
bin10110100000000100…
…11100010001010000
31011011220002112220100
423100002130101100
5144220020014400
65314413212400
7605234210526
oct132002342120
934156075810
1012080235600
115139a83894
122411791100
1311a6978204
14828546316
154aa81e100
hex2d009c450

12080235600 has 90 divisors (see below), whose sum is σ = 41921785646. Its totient is φ = 3221395200.

The previous prime is 12080235599. The next prime is 12080235719. The reversal of 12080235600 is 653208021.

12080235600 is a `hidden beast` number, since 1 + 2 + 0 + 80 + 23 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2815788096 + 9264447504 = 53064^2 + 96252^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1674211 + ... + 1681410.

Almost surely, 212080235600 is an apocalyptic number.

12080235600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12080235600 is an abundant number, since it is smaller than the sum of its proper divisors (29841550046).

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

12080235600 is a wasteful number, since it uses less digits than its factorization.

12080235600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355645 (or 3355631 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12080235600 in words is "twelve billion, eighty million, two hundred thirty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 3355621 6711242 10066863 13422484 16778105 20133726 26844968 30200589 33556210 40267452 50334315 53689936 60401178 67112420 80534904 83890525 100668630 120802356 134224840 151002945 161069808 167781050 201337260 241604712 251671575 268449680 302005890 335562100 402674520 483209424 503343150 604011780 671124200 755014725 805349040 1006686300 1208023560 1342248400 1510029450 2013372600 2416047120 3020058900 4026745200 6040117800 12080235600