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12221013111220 = 22519232379160409
BaseRepresentation
bin1011000111010110110100…
…1001010011000110110100
31121021022120102020102212101
42301311231021103012310
53100212113324024340
641554131140031444
72400640045322314
oct261655511230664
947238512212771
1012221013111220
1139919a2333521
121454620692584
136a858a264584
14303700747444
15162d6b031c9a
hexb1d6d2531b4

12221013111220 has 144 divisors (see below), whose sum is σ = 28315188216000. Its totient is φ = 4418052097536.

The previous prime is 12221013111217. The next prime is 12221013111257. The reversal of 12221013111220 is 2211131012221.

12221013111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122210131112203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76106376 + ... + 76266784.

It is an arithmetic number, because the mean of its divisors is an integer number (196633251500).

Almost surely, 212221013111220 is an apocalyptic number.

12221013111220 is a gapful number since it is divisible by the number (10) 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 12221013111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14157594108000).

12221013111220 is an abundant number, since it is smaller than the sum of its proper divisors (16094175104780).

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

12221013111220 is a wasteful number, since it uses less digits than its factorization.

12221013111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160862 (or 160837 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 12221013111220 its reverse (2211131012221), we get a palindrome (14432144123441).

The spelling of 12221013111220 in words is "twelve trillion, two hundred twenty-one billion, thirteen million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 379 380 437 460 529 758 874 1058 1516 1748 1895 2116 2185 2645 3790 4370 5290 7201 7580 8717 8740 10051 10580 14402 17434 20102 28804 34868 36005 40204 43585 50255 72010 87170 100510 144020 160409 165623 174340 200491 201020 320818 331246 400982 641636 662492 801964 802045 828115 1002455 1604090 1656230 2004910 3047771 3208180 3312460 3689407 3809329 4009820 6095542 7378814 7618658 12191084 14757628 15237316 15238855 18447035 19046645 30477710 36894070 38093290 60795011 60955420 70098733 73788140 76186580 84856361 121590022 140197466 169712722 243180044 280394932 303975055 339425444 350493665 424281805 607950110 700987330 848563610 1155105209 1215900220 1398285253 1401974660 1612270859 1697127220 2310210418 2796570506 3224541718 4620420836 5593141012 5775526045 6449083436 6991426265 8061354295 11551052090 13982852530 16122708590 23102104180 26567419807 27965705060 32160560819 32245417180 53134839614 64321121638 106269679228 128642243276 132837099035 160802804095 265674198070 321605608190 531348396140 611050655561 643211216380 1222101311122 2444202622244 3055253277805 6110506555610 12221013111220