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112221133212320 = 25511223332484589
BaseRepresentation
bin11001100001000010000100…
…110010000000101010100000
3112201100020100201112201212222
4121201002010302000222200
5104202112340100243240
61034401402113010212
732431465203356546
oct3141020462005240
9481306321481788
10112221133212320
1132836796110400
121070525a553968
134a8053b23b452
141d9d76349dd96
15ce91e1126eb5
hex661084c80aa0

112221133212320 has 144 divisors (see below), whose sum is σ = 291540588058440. Its totient is φ = 40790176880640.

The previous prime is 112221133212319. The next prime is 112221133212341. The reversal of 112221133212320 is 23212331122211.

It can be written as a sum of positive squares in 4 ways, for example, as 101411425464976 + 10809707747344 = 10070324^2 + 3287812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112221133212320.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43924586 + ... + 46409174.

Almost surely, 2112221133212320 is an apocalyptic number.

112221133212320 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 112221133212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145770294029220).

112221133212320 is an abundant number, since it is smaller than the sum of its proper divisors (179319454846120).

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

112221133212320 is a wasteful number, since it uses less digits than its factorization.

112221133212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486959 (or 2486940 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 112221133212320 its reverse (23212331122211), we get a palindrome (135433464334531).

The spelling of 112221133212320 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred thirty-three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2333 2420 3872 4666 4840 9332 9680 11665 18664 19360 23330 25663 37328 46660 51326 74656 93320 102652 128315 186640 205304 256630 282293 373280 410608 513260 564586 821216 1026520 1129172 1411465 2053040 2258344 2484589 2822930 4106080 4516688 4969178 5645860 9033376 9938356 11291720 12422945 19876712 22583440 24845890 27330479 39753424 45166880 49691780 54660958 79506848 99383560 109321916 136652395 198767120 218643832 273304790 300635269 397534240 437287664 546609580 601270538 874575328 1093219160 1202541076 1503176345 2186438320 2405082152 3006352690 4372876640 4810164304 5796546137 6012705380 9620328608 11593092274 12025410760 23186184548 24050821520 28982730685 46372369096 48101643040 57965461370 63762007507 92744738192 115930922740 127524015014 185489476384 231861845480 255048030028 318810037535 463723690960 510096060056 637620075070 701382082577 927447381920 1020192120112 1275240150140 1402764165154 2040384240224 2550480300280 2805528330308 3506910412885 5100960600560 5611056660616 7013820825770 10201921201120 11222113321232 14027641651540 22444226642464 28055283303080 56110566606160 112221133212320