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12220012002120 = 2335137833341027
BaseRepresentation
bin1011000111010011000101…
…1110010111101101001000
31121021012222122110211100120
42301310301132113231020
53100203041033031440
641553443534503240
72400603201122016
oct261646136275510
947235878424316
1012220012002120
11399152922242a
1214543a1364b20
136a845aa29620
143036477cb8b6
15162d0d1d1dd0
hexb1d31797b48

12220012002120 has 64 divisors (see below), whose sum is σ = 39480038781120. Its totient is φ = 3008002953984.

The previous prime is 12220012002101. The next prime is 12220012002173. The reversal of 12220012002120 is 2120021002221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12220012002120.

It is an unprimeable number.

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, 3916668954 + ... + 3916672073.

It is an arithmetic number, because the mean of its divisors is an integer number (616875605955).

Almost surely, 212220012002120 is an apocalyptic number.

12220012002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220012002120 is an abundant number, since it is smaller than the sum of its proper divisors (27260026779000).

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

12220012002120 is a wasteful number, since it uses less digits than its factorization.

12220012002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833341054 (or 7833341050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12220012002120 its reverse (2120021002221), we get a palindrome (14340033004341).

The spelling of 12220012002120 in words is "twelve trillion, two hundred twenty billion, twelve million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 7833341027 15666682054 23500023081 31333364108 39166705135 47000046162 62666728216 78333410270 94000092324 101833433351 117500115405 156666820540 188000184648 203666866702 235000230810 305500300053 313333641080 407333733404 470000461620 509167166755 611000600106 814667466808 940000923240 1018334333510 1222001200212 1527501500265 2036668667020 2444002400424 3055003000530 4073337334040 6110006001060 12220012002120