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210212120000120 = 23571967589754573
BaseRepresentation
bin101111110010111111010010…
…101111010111011001111000
31000120022002020002001210110112
4233302333102233113121320
5210023103410210000440
62023030040442203452
762164216204144340
oct5762772257273170
91016262202053415
10210212120000120
1160a86506580a97
121b6b06257b3588
13903abc16c5074
1439ca46c76bd20
1519481764cc965
hexbf2fd2bd7678

210212120000120 has 128 divisors (see below), whose sum is σ = 577487678860800. Its totient is φ = 67260329427456.

The previous prime is 210212120000093. The next prime is 210212120000159. The reversal of 210212120000120 is 21000021212012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 210212120000095 and 210212120000104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294520847 + ... + 295233726.

It is an arithmetic number, because the mean of its divisors is an integer number (4511622491100).

Almost surely, 2210212120000120 is an apocalyptic number.

210212120000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210212120000120 is an abundant number, since it is smaller than the sum of its proper divisors (367275558860680).

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

210212120000120 is a wasteful number, since it uses less digits than its factorization.

210212120000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589754677 (or 589754673 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210212120000120 its reverse (21000021212012), we get a palindrome (231212141212132).

The spelling of 210212120000120 in words is "two hundred ten trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 67 70 76 95 133 134 140 152 190 266 268 280 335 380 469 532 536 665 670 760 938 1064 1273 1330 1340 1876 2345 2546 2660 2680 3752 4690 5092 5320 6365 8911 9380 10184 12730 17822 18760 25460 35644 44555 50920 71288 89110 178220 356440 589754573 1179509146 2359018292 2948772865 4128282011 4718036584 5897545730 8256564022 11205336887 11795091460 16513128044 20641410055 22410673774 23590182920 33026256088 39513556391 41282820110 44821347548 56026684435 78437358209 79027112782 82565640220 89642695096 112053368870 156874716418 158054225564 165131280440 197567781955 224106737740 276594894737 313749432836 316108451128 392186791045 395135563910 448213475480 553189789474 627498865672 750757571429 784373582090 790271127820 1106379578948 1382974473685 1501515142858 1568747164180 1580542255640 2212759157896 2765948947370 3003030285716 3137494328360 3753787857145 5255303000003 5531897894740 6006060571432 7507575714290 10510606000006 11063795789480 15015151428580 21021212000012 26276515000015 30030302857160 42042424000024 52553030000030 105106060000060 210212120000120