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212112220120 = 23523247213281
BaseRepresentation
bin1100010110001011011…
…1111001111111011000
3202021111110120012220121
43011202313321333120
511433401212020440
6241235405003024
721216224060053
oct3054267717730
9667443505817
10212112220120
1181a57900479
1235137b53474
13170047b5728
14a3a2991a9a
1557b69b034a
hex3162df9fd8

212112220120 has 96 divisors (see below), whose sum is σ = 509522166720. Its totient is φ = 79428884480.

The previous prime is 212112220087. The next prime is 212112220141. The reversal of 212112220120 is 21022211212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212112220094 and 212112220103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887880 + ... + 1101160.

It is an arithmetic number, because the mean of its divisors is an integer number (5307522570).

Almost surely, 2212112220120 is an apocalyptic number.

212112220120 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 212112220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254761083360).

212112220120 is an abundant number, since it is smaller than the sum of its proper divisors (297409946600).

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

212112220120 is a wasteful number, since it uses less digits than its factorization.

212112220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213385 (or 213358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212112220120 its reverse (21022211212), we get a palindrome (233134431332).

The spelling of 212112220120 in words is "two hundred twelve billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 470 529 920 940 1058 1081 1880 2116 2162 2645 4232 4324 5290 5405 8648 10580 10810 21160 21620 24863 43240 49726 99452 124315 198904 213281 248630 426562 497260 853124 994520 1066405 1706248 2132810 4265620 4905463 8531240 9810926 10024207 19621852 20048414 24527315 39243704 40096828 49054630 50121035 80193656 98109260 100242070 112825649 196218520 200484140 225651298 230556761 400968280 451302596 461113522 564128245 902605192 922227044 1128256490 1152783805 1844454088 2256512980 2305567610 4513025960 4611135220 5302805503 9222270440 10605611006 21211222012 26514027515 42422444024 53028055030 106056110060 212112220120