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21122111201220 = 22335283138215621
BaseRepresentation
bin1001100110101110111111…
…11011110101111111000100
32202210020212020122200021000
410303113133323311333010
510232031040431414340
6112531210335253300
74310010414611631
oct463273773657704
982706766580230
1021122111201220
116803923136847
12245173437a230
13ba2a63c77013
1453045c171188
1526967bacdd30
hex1335dfef5fc4

21122111201220 has 96 divisors (see below), whose sum is σ = 65945437568640. Its totient is φ = 5612659896960.

The previous prime is 21122111201209. The next prime is 21122111201239. The reversal of 21122111201220 is 2210211122112.

21122111201220 is a `hidden beast` number, since 2 + 11 + 221 + 11 + 201 + 220 = 666.

It is a super-2 number, since 2×211221112012202 (a number of 27 digits) contains 22 as substring.

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 = 21122111201193 and 21122111201202.

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, 68954991 + ... + 69260630.

It is an arithmetic number, because the mean of its divisors is an integer number (686931641340).

Almost surely, 221122111201220 is an apocalyptic number.

21122111201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122111201220 is an abundant number, since it is smaller than the sum of its proper divisors (44823326367420).

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

21122111201220 is a wasteful number, since it uses less digits than its factorization.

21122111201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138215922 (or 138215914 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122111201220 its reverse (2210211122112), we get a palindrome (23332322323332).

The spelling of 21122111201220 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 283 540 566 849 1132 1415 1698 2547 2830 3396 4245 5094 5660 7641 8490 10188 12735 15282 16980 25470 30564 38205 50940 76410 152820 138215621 276431242 414646863 552862484 691078105 829293726 1243940589 1382156210 1658587452 2073234315 2487881178 2764312420 3731821767 4146468630 4975762356 6219702945 7463643534 8292937260 12439405890 14927287068 18659108835 24878811780 37318217670 39115020743 74636435340 78230041486 117345062229 156460082972 195575103715 234690124458 352035186687 391150207430 469380248916 586725311145 704070373374 782300414860 1056105560061 1173450622290 1408140746748 1760175933435 2112211120122 2346901244580 3520351866870 4224422240244 5280527800305 7040703733740 10561055600610 21122111201220