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12320422020 = 22325974671511
BaseRepresentation
bin10110111100101101…
…01011100010000100
31011210122001021201200
423132112223202010
5200213012001040
65354313222500
7614211600504
oct133626534204
934718037650
1012320422020
115252614465
12247a101a30
131214662b5a
1484c3c9a04
154c1965630
hex2de5ab884

12320422020 has 144 divisors (see below), whose sum is σ = 37863116928. Its totient is φ = 3242465280.

The previous prime is 12320422001. The next prime is 12320422027. The reversal of 12320422020 is 2022402321.

12320422020 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12320421984 and 12320422002.

It is not an unprimeable number, because it can be changed into a prime (12320422027) 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 47 ways as a sum of consecutive naturals, for example, 8153065 + ... + 8154575.

It is an arithmetic number, because the mean of its divisors is an integer number (262938312).

Almost surely, 212320422020 is an apocalyptic number.

12320422020 is a gapful number since it is divisible by the number (10) 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 12320422020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18931558464).

12320422020 is an abundant number, since it is smaller than the sum of its proper divisors (25542694908).

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

12320422020 is a wasteful number, since it uses less digits than its factorization.

12320422020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12320422020 its reverse (2022402321), we get a palindrome (14342824341).

The spelling of 12320422020 in words is "twelve billion, three hundred twenty million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 467 485 582 873 934 970 1164 1401 1455 1511 1746 1868 1940 2335 2802 2910 3022 3492 4203 4365 4533 4670 5604 5820 6044 7005 7555 8406 8730 9066 9340 13599 14010 15110 16812 17460 18132 21015 22665 27198 28020 30220 42030 45299 45330 54396 67995 84060 90598 90660 135897 135990 146567 181196 226495 271794 271980 293134 407691 439701 452990 543588 586268 679485 705637 732835 815382 879402 905980 1319103 1358970 1411274 1465670 1630764 1758804 2038455 2116911 2198505 2638206 2717940 2822548 2931340 3528185 4076910 4233822 4397010 5276412 6350733 6595515 7056370 8153820 8467644 8794020 10584555 12701466 13191030 14112740 21169110 25402932 26382060 31753665 42338220 63507330 68446789 127014660 136893578 205340367 273787156 342233945 410680734 616021101 684467890 821361468 1026701835 1232042202 1368935780 2053403670 2464084404 3080105505 4106807340 6160211010 12320422020