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22112000122212 = 223271113613608617
BaseRepresentation
bin1010000011100010110011…
…11010011001110101100100
32220021212221022022001212100
411001301121322121311210
510344240334012402322
6115010040154252100
74441352655611340
oct501613172316544
986255838261770
1022112000122212
1170557126793a0
122591554127030
13c451ca532b70
145663257bc620
152852b5844dac
hex141c59e99d64

22112000122212 has 144 divisors (see below), whose sum is σ = 75046788415872. Its totient is φ = 5301578442240.

The previous prime is 22112000122181. The next prime is 22112000122301. The reversal of 22112000122212 is 21222100021122.

It is a happy number.

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

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, 306768273 + ... + 306840344.

It is an arithmetic number, because the mean of its divisors is an integer number (521158252888).

Almost surely, 222112000122212 is an apocalyptic number.

22112000122212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22112000122212 is an abundant number, since it is smaller than the sum of its proper divisors (52934788293660).

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

22112000122212 is a wasteful number, since it uses less digits than its factorization.

22112000122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613608658 (or 613608653 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22112000122212 its reverse (21222100021122), we get a palindrome (43334100143334).

The spelling of 22112000122212 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 613608617 1227217234 1840825851 2454434468 3681651702 4295260319 5522477553 6749694787 7363303404 7976912021 8590520638 11044955106 12885780957 13499389574 15953824042 17181041276 20249084361 22089910212 23930736063 25771561914 26998779148 31907648084 38657342871 40498168722 47247863509 47861472126 51543123828 55838384147 60747253083 71792208189 77314685742 80996337444 87746032231 94495727018 95722944252 111676768294 121494506166 141743590527 143584416378 154629371484 167515152441 175492064462 188991454036 223353536588 242989012332 263238096693 283487181054 287168832756 335030304882 350984128924 425230771581 502545457323 526476193386 566974362108 614222225617 670060609764 789714290079 850461543162 1005090914646 1052952386772 1228444451234 1579428580158 1700923086324 1842666676851 2010181829292 2456888902468 3158857160316 3685333353702 5528000030553 7370666707404 11056000061106 22112000122212