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212000110120000 = 265411171474443
BaseRepresentation
bin110000001101000000011111…
…010000011000110001000000
31000210122000100011220211121101
4300031000133100120301000
5210241402211142320000
62030515301151504144
762440334234331556
oct6015003720306100
91023560304824541
10212000110120000
1161605818370a14
121b93b05bb28054
13913a6a8726617
143a4cc080a9bd6
1519799219b2e6a
hexc0d01f418c40

212000110120000 has 140 divisors (see below), whose sum is σ = 525739539756816. Its totient is φ = 84792274240000.

The previous prime is 212000110119937. The next prime is 212000110120003. The reversal of 212000110120000 is 21011000212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212000110120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 446602779 + ... + 447077221.

Almost surely, 2212000110120000 is an apocalyptic number.

212000110120000 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 212000110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262869769878408).

212000110120000 is an abundant number, since it is smaller than the sum of its proper divisors (313739429636816).

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

212000110120000 is an equidigital number, since it uses as much as digits as its factorization.

212000110120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485646 (or 485621 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212000110120000 its reverse (21011000212), we get a palindrome (212021121120212).

The spelling of 212000110120000 in words is "two hundred twelve trillion, one hundred ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 11171 20000 22342 40000 44684 55855 89368 111710 178736 223420 279275 357472 446840 474443 558550 714944 893680 948886 1117100 1396375 1787360 1897772 2234200 2372215 2792750 3574720 3795544 4468400 4744430 5585500 6981875 7591088 8936800 9488860 11171000 11861075 13963750 15182176 17873600 18977720 22342000 23722150 27927500 30364352 37955440 44684000 47444300 55855000 59305375 75910880 89368000 94888600 111710000 118610750 151821760 189777200 223420000 237221500 296526875 379554400 446840000 474443000 593053750 759108800 948886000 1186107500 1897772000 2372215000 3795544000 4744430000 5300002753 9488860000 10600005506 18977720000 21200011012 26500013765 42400022024 53000027530 84800044048 106000055060 132500068825 169600088096 212000110120 265000137650 339200176192 424000220240 530000275300 662500344125 848000440480 1060000550600 1325000688250 1696000880960 2120001101200 2650001376500 3312501720625 4240002202400 5300002753000 6625003441250 8480004404800 10600005506000 13250006882500 21200011012000 26500013765000 42400022024000 53000027530000 106000055060000 212000110120000