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12013222221220 = 22511172191989249
BaseRepresentation
bin1010111011010000101111…
…0101111101010110100100
31120112110020010000112110111
42232310023311331112210
53033311034342034340
641314444220102404
72346632563024303
oct256641365752644
946473203015414
1012013222221220
11391186283a360
1214202ab994a04
13691ac3b2901c
142d762ba7243a
1515c758b1aaea
hexaed0bd7d5a4

12013222221220 has 144 divisors (see below), whose sum is σ = 29388417408000. Its totient is φ = 4089946931200.

The previous prime is 12013222221163. The next prime is 12013222221257. The reversal of 12013222221220 is 2212222231021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12013222221191 and 12013222221200.

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, 11649156 + ... + 12638404.

It is an arithmetic number, because the mean of its divisors is an integer number (204086232000).

Almost surely, 212013222221220 is an apocalyptic number.

12013222221220 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 12013222221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694208704000).

12013222221220 is an abundant number, since it is smaller than the sum of its proper divisors (17375195186780).

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

12013222221220 is a wasteful number, since it uses less digits than its factorization.

12013222221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989494 (or 989475 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12013222221220 its reverse (2212222231021), we get a palindrome (14225444452241).

The spelling of 12013222221220 in words is "twelve trillion, thirteen billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 191 220 289 340 374 382 578 748 764 935 955 1156 1445 1870 1910 2101 2890 3179 3247 3740 3820 4202 5780 6358 6494 8404 10505 12716 12988 15895 16235 21010 31790 32470 35717 42020 55199 63580 64940 71434 110398 142868 178585 220796 275995 357170 551990 607189 714340 989249 1103980 1214378 1978498 2428756 3035945 3956996 4946245 6071890 9892490 10881739 12143780 16817233 19784980 21763478 33634466 43526956 54408695 67268932 84086165 108817390 168172330 184989563 188946559 217634780 285892961 336344660 369979126 377893118 571785922 739958252 755786236 924947815 944732795 1143571844 1429464805 1849895630 1889465590 2078412149 2858929610 3144822571 3212091503 3699791260 3778931180 4156824298 5717859220 6289645142 6424183006 8313648596 10392060745 12579290284 12848366012 15724112855 16060457515 20784121490 31448225710 32120915030 35333006533 41568242980 54605555551 62896451420 64241830060 70666013066 109211111102 141332026132 176665032665 218422222204 273027777755 353330065330 546055555510 600661111061 706660130660 1092111111020 1201322222122 2402644444244 3003305555305 6006611110610 12013222221220