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20012222122000 = 245323919947293
BaseRepresentation
bin1001000110011011101010…
…11001000000100000010000
32121212011001011112122002221
410203031311121000200100
510110340012330401000
6110321253220350424
74133556343240423
oct443156531004020
977764034478087
1020012222122000
116416154741209
1222b2604845414
13b221b5479aa4
144d284d5799ba
1524a86cd8061a
hex123375640810

20012222122000 has 160 divisors (see below), whose sum is σ = 50500003507200. Its totient is φ = 7655855961600.

The previous prime is 20012222121953. The next prime is 20012222122001. The reversal of 20012222122000 is 22122221002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20012222122001) 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, 423130354 + ... + 423177646.

It is an arithmetic number, because the mean of its divisors is an integer number (315625021920).

Almost surely, 220012222122000 is an apocalyptic number.

20012222122000 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 20012222122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25250001753600).

20012222122000 is an abundant number, since it is smaller than the sum of its proper divisors (30487781385200).

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

20012222122000 is a wasteful number, since it uses less digits than its factorization.

20012222122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56538 (or 56522 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20012222122000 its reverse (22122221002), we get a palindrome (20034344343002).

The spelling of 20012222122000 in words is "twenty trillion, twelve billion, two hundred twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9199 9200 11500 18398 23000 36796 45995 46000 47293 73592 91990 94586 147184 183980 189172 211577 229975 236465 367960 378344 423154 459950 472930 735920 756688 846308 919900 945860 1057885 1087739 1149875 1182325 1692616 1839800 1891720 2115770 2175478 2299750 2364650 3385232 3679600 3783440 4231540 4350956 4599500 4729300 5289425 5438695 5911625 8463080 8701912 9199000 9458600 10578850 10877390 11823250 16926160 17403824 18398000 18917200 21157700 21754780 23646500 26447125 27193475 42315400 43509560 47293000 52894250 54386950 84630800 87019120 94586000 105788500 108773900 135967375 211577000 217547800 271934750 423154000 435048307 435095600 543869500 870096614 1087739000 1740193228 2175241535 2175478000 3480386456 4350483070 6960772912 8700966140 10006111061 10876207675 17401932280 20012222122 21752415350 34803864560 40024444244 43504830700 50030555305 54381038375 80048888488 87009661400 100061110610 108762076750 160097776976 174019322800 200122221220 217524153500 250152776525 400244442440 435048307000 500305553050 800488884880 870096614000 1000611106100 1250763882625 2001222212200 2501527765250 4002444424400 5003055530500 10006111061000 20012222122000