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212021321311200 = 25352109810479057
BaseRepresentation
bin110000001101010100001111…
…100010101010001111100000
31000210201001002102111222211110
4300031110033202222033200
5210242224131223424300
62030533130025143320
762442014664434262
oct6015241742521740
91023631072458743
10212021321311200
116161381254a8a5
121b94319b62ab40
13913c6a901352b
143a4dc5b195b32
15197a263c2a550
hexc0d50f8aa3e0

212021321311200 has 144 divisors (see below), whose sum is σ = 696460864120560. Its totient is φ = 56020312350720.

The previous prime is 212021321311199. The next prime is 212021321311213. The reversal of 212021321311200 is 2113123120212.

It is a super-2 number, since 2×2120213213112002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404977929 + ... + 405501128.

It is an arithmetic number, because the mean of its divisors is an integer number (4836533778615).

Almost surely, 2212021321311200 is an apocalyptic number.

212021321311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021321311200 is an abundant number, since it is smaller than the sum of its proper divisors (484439542809360).

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

212021321311200 is a wasteful number, since it uses less digits than its factorization.

212021321311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810479189 (or 810479176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 212021321311200 its reverse (2113123120212), we get a palindrome (214134444431412).

The spelling of 212021321311200 in words is "two hundred twelve trillion, twenty-one billion, three hundred twenty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 109 120 150 160 200 218 240 300 327 400 436 480 545 600 654 800 872 1090 1200 1308 1635 1744 2180 2400 2616 2725 3270 3488 4360 5232 5450 6540 8175 8720 10464 10900 13080 16350 17440 21800 26160 32700 43600 52320 65400 87200 130800 261600 810479057 1620958114 2431437171 3241916228 4052395285 4862874342 6483832456 8104790570 9725748684 12157185855 12967664912 16209581140 19451497368 20261976425 24314371710 25935329824 32419162280 38902994736 40523952850 48628743420 60785929275 64838324560 77805989472 81047905700 88342217213 97257486840 121571858550 129676649120 162095811400 176684434426 194514973680 243143717100 265026651639 324191622800 353368868852 389029947360 441711086065 486287434200 530053303278 648383245600 706737737704 883422172130 972574868400 1060106606556 1325133258195 1413475475408 1766844344260 1945149736800 2120213213112 2208555430325 2650266516390 2826950950816 3533688688520 4240426426224 4417110860650 5300533032780 6625666290975 7067377377040 8480852852448 8834221721300 10601066065560 13251332581950 14134754754080 17668443442600 21202132131120 26502665163900 35336886885200 42404264262240 53005330327800 70673773770400 106010660655600 212021321311200