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12002122212120 = 23325154132163059
BaseRepresentation
bin1010111010100111011000…
…1110110010001100011000
31120111101120112101122112100
42232221312032302030120
53033120321241241440
641305410540243400
72346060530350605
oct256516616621430
946441515348470
1012002122212120
113908087104217
12141a112540560
13690a452869c1
142d6c977ab6ac
1515c3093c4230
hexaea763b2318

12002122212120 has 96 divisors (see below), whose sum is σ = 39009446002800. Its totient is φ = 3200356790016.

The previous prime is 12002122212103. The next prime is 12002122212151. The reversal of 12002122212120 is 2121222120021.

It is a happy number.

12002122212120 is a `hidden beast` number, since 1 + 20 + 0 + 212 + 221 + 212 + 0 = 666.

12002122212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12002122212093 and 12002122212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4467151 + ... + 6630209.

Almost surely, 212002122212120 is an apocalyptic number.

12002122212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002122212120 is an abundant number, since it is smaller than the sum of its proper divisors (27007323790680).

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

12002122212120 is a wasteful number, since it uses less digits than its factorization.

12002122212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178489 (or 2178482 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12002122212120 its reverse (2121222120021), we get a palindrome (14123344332141).

The spelling of 12002122212120 in words is "twelve trillion, two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 15413 30826 46239 61652 77065 92478 123304 138717 154130 184956 231195 277434 308260 369912 462390 554868 616520 693585 924780 1109736 1387170 1849560 2163059 2774340 4326118 5548680 6489177 8652236 10815295 12978354 17304472 19467531 21630590 25956708 32445885 38935062 43261180 51913416 64891770 77870124 86522360 97337655 129783540 155740248 194675310 259567080 389350620 778701240 33339228367 66678456734 100017685101 133356913468 166696141835 200035370202 266713826936 300053055303 333392283670 400070740404 500088425505 600106110606 666784567340 800141480808 1000176851010 1200212221212 1333569134680 1500265276515 2000353702020 2400424442424 3000530553030 4000707404040 6001061106060 12002122212120