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12221200202320 = 2451959239570191
BaseRepresentation
bin1011000111010111100001…
…0010111111101001010000
31121021100001110021122121101
42301311320102333221100
53100213004222433240
641554201502034144
72400644506503364
oct261657022775120
947240043248541
1012221200202320
113991a889a986a
121454673278954
136a85b9c4bc75
1430371b5292a4
15162d7c68b39a
hexb1d784bfa50

12221200202320 has 160 divisors (see below), whose sum is σ = 30544045056000. Its totient is φ = 4533639989760.

The previous prime is 12221200202291. The next prime is 12221200202359. The reversal of 12221200202320 is 2320200212221.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21148425 + ... + 21718615.

It is an arithmetic number, because the mean of its divisors is an integer number (190900281600).

Almost surely, 212221200202320 is an apocalyptic number.

12221200202320 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 12221200202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272022528000).

12221200202320 is an abundant number, since it is smaller than the sum of its proper divisors (18322844853680).

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

12221200202320 is a wasteful number, since it uses less digits than its factorization.

12221200202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570521 (or 570515 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12221200202320 its reverse (2320200212221), we get a palindrome (14541400414541).

Subtracting from 12221200202320 its reverse (2320200212221), we obtain a palindrome (9900999990099).

The spelling of 12221200202320 in words is "twelve trillion, two hundred twenty-one billion, two hundred million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 59 76 80 95 118 152 190 236 239 295 304 380 472 478 590 760 944 956 1121 1180 1195 1520 1912 2242 2360 2390 3824 4484 4541 4720 4780 5605 8968 9082 9560 11210 14101 17936 18164 19120 22420 22705 28202 36328 44840 45410 56404 70505 72656 89680 90820 112808 141010 181640 225616 267919 282020 363280 535838 564040 570191 1071676 1128080 1140382 1339595 2143352 2280764 2679190 2850955 4286704 4561528 5358380 5701910 9123056 10716760 10833629 11403820 21433520 21667258 22807640 33641269 43334516 45615280 54168145 67282538 86669032 108336290 134565076 136275649 168206345 173338064 216672580 269130152 272551298 336412690 433345160 538260304 545102596 639184111 672825380 681378245 866690320 1090205192 1278368222 1345650760 1362756490 2180410384 2556736444 2589237331 2691301520 2725512980 3195920555 5113472888 5178474662 5451025960 6391841110 8040263291 10226945776 10356949324 10902051920 12783682220 12946186655 16080526582 20713898648 25567364440 25892373310 32161053164 40201316455 41427797296 51134728880 51784746620 64322106328 80402632910 103569493240 128644212656 152765002529 160805265820 207138986480 305530005058 321610531640 611060010116 643221063280 763825012645 1222120020232 1527650025290 2444240040464 3055300050580 6110600101160 12221200202320