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21222120120120 = 23325179329331473
BaseRepresentation
bin1001101001101001010001…
…11011100101111100111000
32210010211000001002010221100
410310310220323211330320
510240200400222320440
6113045150221411400
74320150630445023
oct464645073457470
983124001063840
1021222120120120
116842283603837
122468ba5109b60
13bac31158a1ca
145352284741ba
1526c0819cb230
hex134d28ee5f38

21222120120120 has 96 divisors (see below), whose sum is σ = 69357208424400. Its totient is φ = 5627616193536.

The previous prime is 21222120120119. The next prime is 21222120120133. The reversal of 21222120120120 is 2102102122212.

It is a happy number.

21222120120120 is a `hidden beast` number, since 21 + 2 + 221 + 201 + 201 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21222120120093 and 21222120120102.

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, 164601297 + ... + 164730176.

Almost surely, 221222120120120 is an apocalyptic number.

21222120120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222120120120 is an abundant number, since it is smaller than the sum of its proper divisors (48135088304280).

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

21222120120120 is a wasteful number, since it uses less digits than its factorization.

21222120120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329331669 (or 329331662 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222120120120 its reverse (2102102122212), we get a palindrome (23324222242332).

The spelling of 21222120120120 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 358 360 537 716 895 1074 1432 1611 1790 2148 2685 3222 3580 4296 5370 6444 7160 8055 10740 12888 16110 21480 32220 64440 329331473 658662946 987994419 1317325892 1646657365 1975988838 2634651784 2963983257 3293314730 3951977676 4939972095 5927966514 6586629460 7903955352 9879944190 11855933028 13173258920 14819916285 19759888380 23711866056 29639832570 39519776760 58950333667 59279665140 117900667334 118559330280 176851001001 235801334668 294751668335 353702002002 471602669336 530553003003 589503336670 707404004004 884255005005 1061106006006 1179006673340 1414808008008 1768510010010 2122212012012 2358013346680 2652765015015 3537020020020 4244424024024 5305530030030 7074040040040 10611060060060 21222120120120