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12300211321209 = 337283112014601
BaseRepresentation
bin1011001011111101110110…
…1110011111100101111001
31121112212222212122100202000
42302333131232133211321
53103011313044234314
642054350012331213
72406442463103600
oct262773556374571
947485885570660
1012300211321209
113a12543696929
121467a43a73b09
136b2b9c23a816
14307494c0ca37
15164e53e23209
hexb2fddb9f979

12300211321209 has 48 divisors (see below), whose sum is σ = 21453036575040. Its totient is φ = 6944009083200.

The previous prime is 12300211321187. The next prime is 12300211321213. The reversal of 12300211321209 is 90212311200321.

12300211321209 is a `hidden beast` number, since 1 + 2 + 300 + 2 + 11 + 321 + 20 + 9 = 666.

It is not a de Polignac number, because 12300211321209 - 223 = 12300202932601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12300211321219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55897492 + ... + 56117109.

It is an arithmetic number, because the mean of its divisors is an integer number (446938261980).

Almost surely, 212300211321209 is an apocalyptic number.

It is an amenable number.

12300211321209 is a deficient number, since it is larger than the sum of its proper divisors (9152825253831).

12300211321209 is a wasteful number, since it uses less digits than its factorization.

12300211321209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112014707 (or 112014694 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12300211321209 in words is "twelve trillion, three hundred billion, two hundred eleven million, three hundred twenty-one thousand, two hundred nine".

Divisors: 1 3 7 9 21 27 49 63 83 147 189 249 441 581 747 1323 1743 2241 4067 5229 12201 15687 36603 109809 112014601 336043803 784102207 1008131409 2352306621 3024394227 5488715449 7056919863 9297211883 16466146347 21170759589 27891635649 49398439041 65080483181 83674906947 148195317123 195241449543 251024720841 455563382267 585724348629 1366690146801 1757173045887 4100070440403 12300211321209