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221112120011220 = 223253149757796387
BaseRepresentation
bin110010010001100110101101…
…010111100110100111010100
31001222220010000211002200202100
4302101212231113212213110
5212440200110210324340
62102133301115042100
764400552313426564
oct6221465527464724
91058803024080670
10221112120011220
11644a913a402179
1220971015740330
13964ba25311749
143c85c52c86da4
151a86978950830
hexc919ad5e69d4

221112120011220 has 144 divisors (see below), whose sum is σ = 692357249945088. Its totient is φ = 57059973815040.

The previous prime is 221112120011161. The next prime is 221112120011269. The reversal of 221112120011220 is 22110021211122.

221112120011220 is a `hidden beast` number, since 2 + 211 + 1 + 21 + 200 + 11 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221112120011193 and 221112120011202.

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, 277245867 + ... + 278042253.

It is an arithmetic number, because the mean of its divisors is an integer number (4808036457952).

Almost surely, 2221112120011220 is an apocalyptic number.

221112120011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112120011220 is an abundant number, since it is smaller than the sum of its proper divisors (471245129933868).

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

221112120011220 is a wasteful number, since it uses less digits than its factorization.

221112120011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846190 (or 846185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221112120011220 its reverse (22110021211122), we get a palindrome (243222141222342).

The spelling of 221112120011220 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 49757 99514 149271 199028 248785 298542 447813 497570 597084 746355 796387 895626 995140 1492710 1542467 1592774 1791252 2239065 2389161 2985420 3084934 3185548 3981935 4478130 4627401 4778322 6169868 7167483 7712335 7963870 8956260 9254802 9556644 11945805 13882203 14334966 15424670 15927740 18509604 23137005 23891610 24687997 27764406 28669932 30849340 35837415 46274010 47783220 49375994 55528812 69411015 71674830 74063991 92548020 98751988 123439985 138822030 143349660 148127982 222191973 246879970 277644060 296255964 370319955 444383946 493759940 740639910 888767892 1110959865 1481279820 2221919730 4443839460 39625827959 79251655918 118877483877 158503311836 198129139795 237754967754 356632451631 396258279590 475509935508 594387419385 713264903262 792516559180 1188774838770 1228400666729 1426529806524 1783162258155 2377549677540 2456801333458 3566324516310 3685202000187 4913602666916 6142003333645 7132649032620 7370404000374 11055606000561 12284006667290 14740808000748 18426010000935 22111212001122 24568013334580 36852020001870 44222424002244 55278030002805 73704040003740 110556060005610 221112120011220