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12213323322120 = 23325211160786247
BaseRepresentation
bin1011000110111010001011…
…0011000101001100001000
31121020120201111112200022200
42301232202303011030020
53100100341232301440
641550420121120200
72400245352230154
oct261564263051410
947216644480280
1012213323322120
113989706684118
121453035329060
136a7933085acb
143031b1350064
15162a6adb0c30
hexb1ba2cc5308

12213323322120 has 96 divisors (see below), whose sum is σ = 39881420953920. Its totient is φ = 3241450719360.

The previous prime is 12213323322113. The next prime is 12213323322157. The reversal of 12213323322120 is 2122332331221.

12213323322120 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 323 + 322 + 12 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80317164 + ... + 80469083.

It is an arithmetic number, because the mean of its divisors is an integer number (415431468270).

Almost surely, 212213323322120 is an apocalyptic number.

12213323322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213323322120 is an abundant number, since it is smaller than the sum of its proper divisors (27668097631800).

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

12213323322120 is a wasteful number, since it uses less digits than its factorization.

12213323322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160786475 (or 160786468 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12213323322120 its reverse (2122332331221), we get a palindrome (14335655653341).

The spelling of 12213323322120 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty-three million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 211 360 422 633 844 1055 1266 1688 1899 2110 2532 3165 3798 4220 5064 6330 7596 8440 9495 12660 15192 18990 25320 37980 75960 160786247 321572494 482358741 643144988 803931235 964717482 1286289976 1447076223 1607862470 1929434964 2411793705 2894152446 3215724940 3858869928 4823587410 5788304892 6431449880 7235381115 9647174820 11576609784 14470762230 19294349640 28941524460 33925898117 57883048920 67851796234 101777694351 135703592468 169629490585 203555388702 271407184936 305333083053 339258981170 407110777404 508888471755 610666166106 678517962340 814221554808 1017776943510 1221332332212 1357035924680 1526665415265 2035553887020 2442664664424 3053330830530 4071107774040 6106661661060 12213323322120