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221212212110120 = 235711119360202973
BaseRepresentation
bin110010010011000011111011…
…010100101010001100101000
31002000020200101102001010221102
4302103003323110222030220
5212443320102300010440
62102251253132100532
764411024556302160
oct6223037324521450
91060220342033842
10221212212110120
1164537632822570
12209884aa304748
1396582b6c2957a
143c8aa2a23d5a0
151a89385ccdb15
hexc930fb52a328

221212212110120 has 128 divisors (see below), whose sum is σ = 621063512259840. Its totient is φ = 68891464919040.

The previous prime is 221212212110077. The next prime is 221212212110213. The reversal of 221212212110120 is 21011212212122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221212212110092 and 221212212110101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26427047 + ... + 33775926.

It is an arithmetic number, because the mean of its divisors is an integer number (4852058689530).

Almost surely, 2221212212110120 is an apocalyptic number.

221212212110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212212110120 is an abundant number, since it is smaller than the sum of its proper divisors (399851300149720).

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

221212212110120 is a wasteful number, since it uses less digits than its factorization.

221212212110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60204195 (or 60204191 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221212212110120 its reverse (21011212212122), we get a palindrome (242223424322242).

The spelling of 221212212110120 in words is "two hundred twenty-one trillion, two hundred twelve billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1193 1540 2386 3080 4772 5965 8351 9544 11930 13123 16702 23860 26246 33404 41755 47720 52492 65615 66808 83510 91861 104984 131230 167020 183722 262460 334040 367444 459305 524920 734888 918610 1837220 3674440 60202973 120405946 240811892 301014865 421420811 481623784 602029730 662232703 842841622 1204059460 1324465406 1685683244 2107104055 2408118920 2648930812 3311163515 3371366488 4214208110 4635628921 5297861624 6622327030 8428416220 9271257842 13244654060 16856832440 18542515684 23178144605 26489308120 37085031368 46356289210 71822146789 92712578420 143644293578 185425156840 287288587156 359110733945 502755027523 574577174312 718221467890 790043614679 1005510055046 1436442935780 1580087229358 2011020110092 2513775137615 2872885871560 3160174458716 3950218073395 4022040220184 5027550275230 5530305302753 6320348917432 7900436146790 10055100550460 11060610605506 15800872293580 20110201100920 22121221211012 27651526513765 31601744587160 44242442422024 55303053027530 110606106055060 221212212110120