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12155320452105 = 3256719320889199
BaseRepresentation
bin1011000011100010000110…
…0011101100010000001001
31121001001000011220120212200
42300320201203230100021
53043123044013431410
641504024354230413
72363123113041645
oct260704143542011
947031004816780
1012155320452105
113967051563406
121443948285409
136a231b30984c
1430046bc09c25
151612c3b553c0
hexb0e218ec409

12155320452105 has 48 divisors (see below), whose sum is σ = 21494485459200. Its totient is φ = 6352990009344.

The previous prime is 12155320452101. The next prime is 12155320452113. The reversal of 12155320452105 is 50125402355121.

12155320452105 is a `hidden beast` number, since 1 + 2 + 15 + 532 + 0 + 4 + 5 + 2 + 105 = 666.

It is not a de Polignac number, because 12155320452105 - 22 = 12155320452101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12155320452105.

It is not an unprimeable number, because it can be changed into a prime (12155320452101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9862705 + ... + 11026494.

It is an arithmetic number, because the mean of its divisors is an integer number (447801780400).

Almost surely, 212155320452105 is an apocalyptic number.

12155320452105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12155320452105 is a deficient number, since it is larger than the sum of its proper divisors (9339165007095).

12155320452105 is a wasteful number, since it uses less digits than its factorization.

12155320452105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20889470 (or 20889467 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 12155320452105 in words is "twelve trillion, one hundred fifty-five billion, three hundred twenty million, four hundred fifty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 45 67 193 201 335 579 603 965 1005 1737 2895 3015 8685 12931 38793 64655 116379 193965 581895 20889199 62667597 104445995 188002791 313337985 940013955 1399576333 4031615407 4198728999 6997881665 12094846221 12596186997 20158077035 20993644995 36284538663 60474231105 62980934985 181422693315 270118232269 810354696807 1350591161345 2431064090421 4051773484035 12155320452105