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212330011212 = 22321119201114033
BaseRepresentation
bin1100010110111111011…
…0101101101001001100
3202022001122101011010100
43011233312231221030
511434322440324322
6241313145011100
721224510213364
oct3055766555114
9668048334110
10212330011212
1182059835110
1235198a83a90
131703a95b8b7
14a3c38859a4
1557cab80dac
hex316fdada4c

212330011212 has 144 divisors (see below), whose sum is σ = 616683150720. Its totient is φ = 60921331200.

The previous prime is 212330011177. The next prime is 212330011247. The reversal of 212330011212 is 212110033212.

212330011212 is a `hidden beast` number, since 212 + 330 + 0 + 1 + 121 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (212330011177) and next prime (212330011247).

It is a super-2 number, since 2×2123300112122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15123748 + ... + 15137780.

It is an arithmetic number, because the mean of its divisors is an integer number (4282521880).

Almost surely, 2212330011212 is an apocalyptic number.

212330011212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212330011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308341575360).

212330011212 is an abundant number, since it is smaller than the sum of its proper divisors (404353139508).

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

212330011212 is a wasteful number, since it uses less digits than its factorization.

212330011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16084 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212330011212 its reverse (212110033212), we get a palindrome (424440044424).

The spelling of 212330011212 in words is "two hundred twelve billion, three hundred thirty million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2011 2508 3762 4022 6033 7524 8044 12066 14033 18099 22121 24132 28066 36198 38209 42099 44242 56132 66363 72396 76418 84198 88484 114627 126297 132726 152836 154363 168396 199089 229254 252594 265452 266627 308726 343881 398178 420299 458508 463089 505188 533254 617452 687762 796356 799881 840598 926178 1066508 1260897 1375524 1389267 1599762 1681196 1852356 2399643 2521794 2778534 2932897 3199524 3782691 4799286 5043588 5557068 5865794 7565382 8798691 9598572 11731588 15130764 17597382 26396073 28220363 35194764 52792146 56440726 84661089 105584292 112881452 169322178 253983267 310423993 338644356 507966534 536186897 620847986 931271979 1015933068 1072373794 1241695972 1608560691 1862543958 2144747588 2793815937 3217121382 3725087916 4825682073 5587631874 5898055867 6434242764 9651364146 11175263748 11796111734 17694167601 19302728292 23592223468 35388335202 53082502803 70776670404 106165005606 212330011212