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122212031330220 = 223513213986708407
BaseRepresentation
bin11011110010011010110100…
…101101101111011110101100
3121000201100121120222110201220
4123302122310231233132230
5112004310220010031340
61111531233201103340
734512346031231556
oct3362326455573654
9530640546873656
10122212031330220
1135a38916696707
1211859616027b50
135326711794300
1422271458564d6
15e1e036e65ed0
hex6f26b4b6f7ac

122212031330220 has 144 divisors (see below), whose sum is σ = 373206861377280. Its totient is φ = 29866537029888.

The previous prime is 122212031330173. The next prime is 122212031330227. The reversal of 122212031330220 is 22033130212221.

122212031330220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122212031330227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41944744 + ... + 44763663.

It is an arithmetic number, because the mean of its divisors is an integer number (2591714315120).

Almost surely, 2122212031330220 is an apocalyptic number.

122212031330220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212031330220 is an abundant number, since it is smaller than the sum of its proper divisors (250994830047060).

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

122212031330220 is a wasteful number, since it uses less digits than its factorization.

122212031330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86708584 (or 86708569 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122212031330220 its reverse (22033130212221), we get a palindrome (144245161542441).

The spelling of 122212031330220 in words is "one hundred twenty-two trillion, two hundred twelve billion, thirty-one million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 169 195 260 278 338 390 417 507 556 676 695 780 834 845 1014 1390 1668 1690 1807 2028 2085 2535 2780 3380 3614 4170 5070 5421 7228 8340 9035 10140 10842 18070 21684 23491 27105 36140 46982 54210 70473 93964 108420 117455 140946 234910 281892 352365 469820 704730 1409460 86708407 173416814 260125221 346833628 433542035 520250442 867084070 1040500884 1127209291 1300626105 1734168140 2254418582 2601252210 3381627873 4508837164 5202504420 5636046455 6763255746 11272092910 12052468573 13526511492 14653720783 16908139365 22544185820 24104937146 29307441566 33816278730 36157405719 43961162349 48209874292 58614883132 60262342865 67632557460 72314811438 73268603915 87922324698 120524685730 144629622876 146537207830 156682091449 175844649396 180787028595 219805811745 241049371460 293074415660 313364182898 361574057190 439611623490 470046274347 626728365796 723148114380 783410457245 879223246980 940092548694 1566820914490 1880185097388 2036867188837 2350231371735 3133641828980 4073734377674 4700462743470 6110601566511 8147468755348 9400925486940 10184335944185 12221203133022 20368671888370 24442406266044 30553007832555 40737343776740 61106015665110 122212031330220