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12110345014005 = 335721830739987
BaseRepresentation
bin1011000000111010100011…
…0100000000101011110101
31120212201220202200121102000
42300032220310000223311
53041403441310422010
641431225442405513
72356641432112500
oct260165064005365
946781822617360
1012110345014005
113949a72054057
121437096060899
1369b001518394
142dc202932137
151600404697c0
hexb03a8d00af5

12110345014005 has 48 divisors (see below), whose sum is σ = 25044523035840. Its totient is φ = 5536157717664.

The previous prime is 12110345013827. The next prime is 12110345014021. The reversal of 12110345014005 is 50041054301121.

12110345014005 is a `hidden beast` number, since 1 + 2 + 110 + 3 + 4 + 501 + 40 + 0 + 5 = 666.

It is not a de Polignac number, because 12110345014005 - 29 = 12110345013493 is a prime.

It is a super-2 number, since 2×121103450140052 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12110345014005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915363379 + ... + 915376608.

It is an arithmetic number, because the mean of its divisors is an integer number (521760896580).

Almost surely, 212110345014005 is an apocalyptic number.

12110345014005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12110345014005 is an abundant number, since it is smaller than the sum of its proper divisors (12934178021835).

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

12110345014005 is a wasteful number, since it uses less digits than its factorization.

12110345014005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830740015 (or 1830740002 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 12110345014005 its reverse (50041054301121), we get a palindrome (62151399315126).

The spelling of 12110345014005 in words is "twelve trillion, one hundred ten billion, three hundred forty-five million, fourteen thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 1830739987 5492219961 9153699935 12815179909 16476659883 27461099805 38445539727 49429979649 64075899545 82383299415 89706259363 115336619181 192227698635 247149898245 269118778089 346009857543 448531296815 576683095905 807356334267 1345593890445 1730049287715 2422069002801 4036781671335 12110345014005