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212222210122120 = 23511523922224101
BaseRepresentation
bin110000010000001111010101…
…011100101010000110001000
31000211102020121201020221200211
4300100033111130222012020
5210304022041242401440
62031205312025410504
762462356130235622
oct6020172534520610
91024366551227624
10212222210122120
1161690a2aaa0880
121b976104939a34
13915561250c213
143a5987731dc12
1519805c021aeea
hexc103d572a188

212222210122120 has 64 divisors (see below), whose sum is σ = 521905063803840. Its totient is φ = 77024156832000.

The previous prime is 212222210122009. The next prime is 212222210122121. The reversal of 212222210122120 is 21221012222212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212222210122091 and 212222210122100.

It is not an unprimeable number, because it can be changed into a prime (212222210122121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 460881931 + ... + 461342170.

It is an arithmetic number, because the mean of its divisors is an integer number (8154766621935).

Almost surely, 2212222210122120 is an apocalyptic number.

212222210122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222210122120 is an abundant number, since it is smaller than the sum of its proper divisors (309682853681720).

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

212222210122120 is a wasteful number, since it uses less digits than its factorization.

212222210122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922224646 (or 922224642 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 212222210122120 its reverse (21221012222212), we get a palindrome (233443222344332).

The spelling of 212222210122120 in words is "two hundred twelve trillion, two hundred twenty-two billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 523 1046 2092 2615 4184 5230 5753 10460 11506 20920 23012 28765 46024 57530 115060 230120 922224101 1844448202 3688896404 4611120505 7377792808 9222241010 10144465111 18444482020 20288930222 36888964040 40577860444 50722325555 81155720888 101444651110 202889302220 405778604440 482323204823 964646409646 1929292819292 2411616024115 3858585638584 4823232048230 5305555253053 9646464096460 10611110506106 19292928192920 21222221012212 26527776265265 42444442024424 53055552530530 106111105061060 212222210122120