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12221222211220 = 22511673863214631
BaseRepresentation
bin1011000111010111100110…
…0110111100111010010100
31121021100002222200211010211
42301311321212330322110
53100213030341224340
641554204005455204
72400645164540311
oct261657146747224
947240088624124
1012221222211220
113991a9a371440
12145467a711504
136a85c1686899
14303720417d08
15162d7e5875ea
hexb1d799bce94

12221222211220 has 96 divisors (see below), whose sum is σ = 28423073581056. Its totient is φ = 4376597596800.

The previous prime is 12221222211193. The next prime is 12221222211221. The reversal of 12221222211220 is 2211222212221.

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 = 12221222211191 and 12221222211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221222211221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56833305 + ... + 57047935.

It is an arithmetic number, because the mean of its divisors is an integer number (296073683136).

Almost surely, 212221222211220 is an apocalyptic number.

12221222211220 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 12221222211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14211536790528).

12221222211220 is an abundant number, since it is smaller than the sum of its proper divisors (16201851369836).

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

12221222211220 is a wasteful number, since it uses less digits than its factorization.

12221222211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218581 (or 218579 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12221222211220 its reverse (2211222212221), we get a palindrome (14432444423441).

The spelling of 12221222211220 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 3863 7370 7726 14740 15452 19315 38630 42493 77260 84986 169972 212465 214631 258821 424930 429262 517642 849860 858524 1035284 1073155 1294105 2146310 2360941 2588210 2847031 4292620 4721882 5176420 5694062 9443764 11388124 11804705 14235155 14380277 23609410 28470310 28760554 47218820 56940620 57521108 71901385 143802770 158183047 287605540 316366094 632732188 790915235 829119553 1581830470 1658239106 3163660940 3316478212 4145597765 8291195530 9120315083 16582391060 18240630166 36481260332 45601575415 55551010051 91203150830 111102020102 182406301660 222204040204 277755050255 555510100510 611061110561 1111020201020 1222122221122 2444244442244 3055305552805 6110611105610 12221222211220