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12010211102120 = 2357113899419189
BaseRepresentation
bin1010111011000101100001…
…0111011100110110101000
31120112011110021001211120212
42232301120113130312220
53033233403020231440
641313225333240252
72346465140651360
oct256613027346650
946464407054525
1012010211102120
113910558074a80
12141b7ab493088
1369173405074a
142d7423bb39a0
1515c62e5cc465
hexaec585dcda8

12010211102120 has 64 divisors (see below), whose sum is σ = 33690981801600. Its totient is φ = 3743442420480.

The previous prime is 12010211102117. The next prime is 12010211102129. The reversal of 12010211102120 is 2120111201021.

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 = 12010211102095 and 12010211102104.

It is not an unprimeable number, because it can be changed into a prime (12010211102129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949706515 + ... + 1949712674.

It is an arithmetic number, because the mean of its divisors is an integer number (526421590650).

Almost surely, 212010211102120 is an apocalyptic number.

12010211102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010211102120 is an abundant number, since it is smaller than the sum of its proper divisors (21680770699480).

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

12010211102120 is a wasteful number, since it uses less digits than its factorization.

12010211102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899419218 (or 3899419214 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12010211102120 its reverse (2120111201021), we get a palindrome (14130322303141).

The spelling of 12010211102120 in words is "twelve trillion, ten billion, two hundred eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3899419189 7798838378 15597676756 19497095945 27295934323 31195353512 38994191890 42893611079 54591868646 77988383780 85787222158 109183737292 136479671615 155976767560 171574444316 214468055395 218367474584 272959343230 300255277553 343148888632 428936110790 545918686460 600510555106 857872221580 1091837372920 1201021110212 1501276387765 1715744443160 2402042220424 3002552775530 6005105551060 12010211102120