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22121112110120 = 2354092953457889
BaseRepresentation
bin1010000011110011110010…
…00001111000010000101000
32220022202110100010000101222
411001321321001320100220
510344413014200010440
6115014144300001212
74442124531333632
oct501717101702050
986282410100358
1022121112110120
1170595690a9811
122593277830208
13c4602026329a
1456694ba25a52
1528564a7932b5
hex141e79078428

22121112110120 has 64 divisors (see below), whose sum is σ = 49911200514000. Its totient is φ = 8823802134528.

The previous prime is 22121112110101. The next prime is 22121112110171. The reversal of 22121112110120 is 2101121112122.

It can be written as a sum of positive squares in 8 ways, for example, as 11971752240484 + 10149359869636 = 3460022^2 + 3185806^2 .

It is a super-3 number, since 3×221211121101203 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48082136 + ... + 48540024.

Almost surely, 222121112110120 is an apocalyptic number.

22121112110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121112110120 is an abundant number, since it is smaller than the sum of its proper divisors (27790088403880).

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

22121112110120 is a wasteful number, since it uses less digits than its factorization.

22121112110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461262 (or 461258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22121112110120 its reverse (2101121112122), we get a palindrome (24222233222242).

The spelling of 22121112110120 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 409 818 1636 2045 2953 3272 4090 5906 8180 11812 14765 16360 23624 29530 59060 118120 457889 915778 1207777 1831556 2289445 2415554 3663112 4578890 4831108 6038885 9157780 9662216 12077770 18315560 24155540 48311080 187276601 374553202 749106404 936383005 1352146217 1498212808 1872766010 2704292434 3745532020 5408584868 6760731085 7491064040 10817169736 13521462170 27042924340 54085848680 553027802753 1106055605506 2212111211012 2765139013765 4424222422024 5530278027530 11060556055060 22121112110120