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222121101212120 = 235118391151522757
BaseRepresentation
bin110010100000010010011001…
…010101011011100111011000
31002010110120101110020101201202
4302200102121111123213120
5213103213003402241440
62104225005235533332
764533501645222035
oct6240223125334730
91063416343211652
10222121101212120
1164858036a49250
1220ab468345a248
1396c2c121a7936
143cbca0c01038c
151aa2d2d8cd615
hexca049955b9d8

222121101212120 has 128 divisors (see below), whose sum is σ = 546331458355200. Its totient is φ = 80604793152000.

The previous prime is 222121101212063. The next prime is 222121101212149. The reversal of 222121101212120 is 21212101121222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222121101212092 and 222121101212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424641782 + ... + 425164538.

It is an arithmetic number, because the mean of its divisors is an integer number (4268214518400).

Almost surely, 2222121101212120 is an apocalyptic number.

222121101212120 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 222121101212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273165729177600).

222121101212120 is an abundant number, since it is smaller than the sum of its proper divisors (324210357143080).

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

222121101212120 is a wasteful number, since it uses less digits than its factorization.

222121101212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524769 (or 524765 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 222121101212120 its reverse (21212101121222), we get a palindrome (243333202333342).

The spelling of 222121101212120 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 839 1151 1678 2302 3356 4195 4604 5755 6712 8390 9208 9229 11510 12661 16780 18458 23020 25322 33560 36916 46040 46145 50644 63305 73832 92290 101288 126610 184580 253220 369160 506440 522757 965689 1045514 1931378 2091028 2613785 3862756 4182056 4828445 5227570 5750327 7725512 9656890 10455140 10622579 11500654 19313780 20910280 21245158 23001308 28751635 38627560 42490316 46002616 53112895 57503270 84980632 106225790 115006540 212451580 230013080 424903160 438593123 601693307 877186246 1203386614 1754372492 2192965615 2406773228 3008466535 3508744984 4385931230 4813546456 4824524353 6016933070 6618626377 8771862460 9649048706 12033866140 13237252754 17543724920 19298097412 24067732280 24122621765 26474505508 33093131885 38596194824 48245243530 52949011016 66186263770 96490487060 132372527540 192980974120 264745055080 504820684573 1009641369146 2019282738292 2524103422865 4038565476584 5048206845730 5553027530303 10096413691460 11106055060606 20192827382920 22212110121212 27765137651515 44424220242424 55530275303030 111060550606060 222121101212120