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12220203310320 = 24351910872465381
BaseRepresentation
bin1011000111010011110011…
…1000001001110011110000
31121021020110222110021212110
42301310330320021303300
53100203434021412240
641553514531125320
72400611013165615
oct261647470116360
947236428407773
1012220203310320
113991617209085
121454435443840
136a848b55c645
14303664d8a50c
15162d1edc0c80
hexb1d3ce09cf0

12220203310320 has 160 divisors (see below), whose sum is σ = 39913153966080. Its totient is φ = 3084367887360.

The previous prime is 12220203310319. The next prime is 12220203310321. The reversal of 12220203310320 is 2301330202221.

It is a happy number.

12220203310320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12220203310319) and next prime (12220203310321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220203310321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3724030 + ... + 6189410.

It is an arithmetic number, because the mean of its divisors is an integer number (249457212288).

Almost surely, 212220203310320 is an apocalyptic number.

12220203310320 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 12220203310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956576983040).

12220203310320 is an abundant number, since it is smaller than the sum of its proper divisors (27692950655760).

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

12220203310320 is a wasteful number, since it uses less digits than its factorization.

12220203310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466503 (or 2466497 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12220203310320 its reverse (2301330202221), we get a palindrome (14521533512541).

The spelling of 12220203310320 in words is "twelve trillion, two hundred twenty billion, two hundred three million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1087 1140 1520 2174 2280 3261 4348 4560 5435 6522 8696 10870 13044 16305 17392 20653 21740 26088 32610 41306 43480 52176 61959 65220 82612 86960 103265 123918 130440 165224 206530 247836 260880 309795 330448 413060 495672 619590 826120 991344 1239180 1652240 2465381 2478360 4930762 4956720 7396143 9861524 12326905 14792286 19723048 24653810 29584572 36980715 39446096 46842239 49307620 59169144 73961430 93684478 98615240 118338288 140526717 147922860 187368956 197230480 234211195 281053434 295845720 374737912 468422390 562106868 591691440 702633585 749475824 936844780 1124213736 1405267170 1873689560 2248427472 2679869147 2810534340 3747379120 5359738294 5621068680 8039607441 10719476588 11242137360 13399345735 16079214882 21438953176 26798691470 32158429764 40198037205 42877906352 50917513793 53597382940 64316859528 80396074410 101835027586 107194765880 128633719056 152752541379 160792148820 203670055172 214389531760 254587568965 305505082758 321584297640 407340110344 509175137930 611010165516 643168595280 763762706895 814680220688 1018350275860 1222020331032 1527525413790 2036700551720 2444040662064 3055050827580 4073401103440 6110101655160 12220203310320