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121212303120 = 24335208926863
BaseRepresentation
bin111000011100011010…
…0001111011100010000
3102120212111022222202000
41300320310033130100
53441220322144440
6131403440154000
711520516401556
oct1607064173420
9376774288660
10121212303120
1147451204427
121b5a9908900
13b5793c87ac
145c1c359bd6
153246621730
hex1c38d0f710

121212303120 has 160 divisors (see below), whose sum is σ = 417724454400. Its totient is φ = 32306605056.

The previous prime is 121212303103. The next prime is 121212303193. The reversal of 121212303120 is 21303212121.

121212303120 is a `hidden beast` number, since 1 + 2 + 121 + 230 + 312 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121212303093 and 121212303102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4498809 + ... + 4525671.

It is an arithmetic number, because the mean of its divisors is an integer number (2610777840).

Almost surely, 2121212303120 is an apocalyptic number.

121212303120 is a gapful number since it is divisible by the number (10) 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 121212303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208862227200).

121212303120 is an abundant number, since it is smaller than the sum of its proper divisors (296512151280).

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

121212303120 is a wasteful number, since it uses less digits than its factorization.

121212303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28974 (or 28962 counting only the distinct ones).

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

Adding to 121212303120 its reverse (21303212121), we get a palindrome (142515515241).

Subtracting from 121212303120 its reverse (21303212121), we obtain a palindrome (99909090999).

The spelling of 121212303120 in words is "one hundred twenty-one billion, two hundred twelve million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2089 2160 4178 6267 8356 10445 12534 16712 18801 20890 25068 26863 31335 33424 37602 41780 50136 53726 56403 62670 75204 80589 83560 94005 100272 107452 112806 125340 134315 150408 161178 167120 188010 214904 225612 241767 250680 268630 282015 300816 322356 376020 402945 429808 451224 483534 501360 537260 564030 644712 725301 752040 805890 902448 967068 1074520 1128060 1208835 1289424 1450602 1504080 1611780 1934136 2149040 2256120 2417670 2901204 3223560 3626505 3868272 4512240 4835340 5802408 6447120 7253010 9670680 11604816 14506020 19341360 29012040 56116807 58024080 112233614 168350421 224467228 280584035 336700842 448934456 505051263 561168070 673401684 841752105 897868912 1010102526 1122336140 1346803368 1515153789 1683504210 2020205052 2244672280 2525256315 2693606736 3030307578 3367008420 4040410104 4489344560 5050512630 6060615156 6734016840 7575768945 8080820208 10101025260 12121230312 13468033680 15151537890 20202050520 24242460624 30303075780 40404101040 60606151560 121212303120