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20002212120 = 233511132111471
BaseRepresentation
bin10010101000001110…
…011000100100011000
31220121222200122201010
4102220032120210120
5311431031241440
613104444453520
71305446666142
oct225016304430
956558618633
1020002212120
118534800020
123a6284a2a0
131b69ca0797
14d7a6ddc92
157c1056580
hex4a8398918

20002212120 has 128 divisors (see below), whose sum is σ = 65517050880. Its totient is φ = 4844928000.

The previous prime is 20002212073. The next prime is 20002212149. The reversal of 20002212120 is 2121220002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20002212096 and 20002212105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1737985 + ... + 1749455.

It is an arithmetic number, because the mean of its divisors is an integer number (511851960).

Almost surely, 220002212120 is an apocalyptic number.

20002212120 is a gapful number since it is divisible by the number (20) 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 20002212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32758525440).

20002212120 is an abundant number, since it is smaller than the sum of its proper divisors (45514838760).

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

20002212120 is a wasteful number, since it uses less digits than its factorization.

20002212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12817 (or 12813 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20002212120 its reverse (2121220002), we get a palindrome (22123432122).

The spelling of 20002212120 in words is "twenty billion, two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1321 2642 3963 5284 6605 7926 10568 11471 13210 14531 15852 19815 22942 26420 29062 31704 34413 39630 43593 45884 52840 57355 58124 68826 72655 79260 87186 91768 114710 116248 126181 137652 145310 158520 172065 174372 217965 229420 252362 275304 290620 344130 348744 378543 435930 458840 504724 581240 630905 688260 757086 871860 1009448 1261810 1376520 1514172 1743720 1892715 2523620 3028344 3785430 5047240 7570860 15141720 15153191 30306382 45459573 60612764 75765955 90919146 121225528 151531910 166685101 181838292 227297865 303063820 333370202 363676584 454595730 500055303 606127640 666740404 833425505 909191460 1000110606 1333480808 1666851010 1818382920 2000221212 2500276515 3333702020 4000442424 5000553030 6667404040 10001106060 20002212120