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212010211211112 = 2335318103342841
BaseRepresentation
bin110000001101001001111001…
…010100111111011101101000
31000210122222102010220102200000
4300031021321110333131220
5210242033403032223422
62030524051345143000
762441142450232026
oct6015117124773550
91023588363812600
10212010211211112
116160a0311521a6
121b940bba92aa60
13913b62834a102
143a4d4c5825716
151979d1368dcac
hexc0d27953f768

212010211211112 has 96 divisors (see below), whose sum is σ = 595464387161280. Its totient is φ = 70669642112640.

The previous prime is 212010211211111. The next prime is 212010211211129. The reversal of 212010211211112 is 211112112010212.

It is a happy number.

212010211211112 is a `hidden beast` number, since 2 + 120 + 10 + 211 + 211 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212010211211111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618220812 + ... + 618563652.

It is an arithmetic number, because the mean of its divisors is an integer number (6202754032930).

Almost surely, 2212010211211112 is an apocalyptic number.

It is an amenable number.

212010211211112 is an abundant number, since it is smaller than the sum of its proper divisors (383454175950168).

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

212010211211112 is a wasteful number, since it uses less digits than its factorization.

212010211211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660965 (or 660949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212010211211112 its reverse (211112112010212), we get a palindrome (423122323221324).

The spelling of 212010211211112 in words is "two hundred twelve trillion, ten billion, two hundred eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 318103 342841 636206 685682 954309 1028523 1272412 1371364 1908618 2057046 2544824 2742728 2862927 3085569 3817236 4114092 5725854 6171138 7634472 8228184 8588781 9256707 11451708 12342276 17177562 18513414 22903416 24684552 25766343 27770121 34355124 37026828 51532686 55540242 68710248 74053656 77299029 83310363 103065372 111080484 154598058 166620726 206130744 222160968 309196116 333241452 618392232 666482904 109058750623 218117501246 327176251869 436235002492 654352503738 872470004984 981528755607 1308705007476 1963057511214 2617410014952 2944586266821 3926115022428 5889172533642 7852230044856 8833758800463 11778345067284 17667517600926 23556690134568 26501276401389 35335035201852 53002552802778 70670070403704 106005105605556 212010211211112