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12014531125 = 531718131237
BaseRepresentation
bin10110011000001111…
…10011001000110101
31011000022110102022021
423030013303020311
5144101204444000
65304105033141
7603505554352
oct131407631065
934008412267
1012014531125
115105987073
1223b37857b1
13119618191c
1481d921629
154a4b9111a
hex2cc1f3235

12014531125 has 32 divisors (see below), whose sum is σ = 15964367328. Its totient is φ = 8995968000.

The previous prime is 12014531119. The next prime is 12014531141. The reversal of 12014531125 is 52113541021.

12014531125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 8222681041 + 3791850084 = 90679^2 + 61578^2 .

It is not a de Polignac number, because 12014531125 - 29 = 12014530613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12014531125.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 369007 + ... + 400243.

It is an arithmetic number, because the mean of its divisors is an integer number (498886479).

Almost surely, 212014531125 is an apocalyptic number.

It is an amenable number.

12014531125 is a deficient number, since it is larger than the sum of its proper divisors (3949836203).

12014531125 is a wasteful number, since it uses less digits than its factorization.

12014531125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31450 (or 31440 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 12014531125 in words is "twelve billion, fourteen million, five hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 181 425 905 2125 3077 4525 15385 22625 31237 76925 156185 384625 531029 780925 2655145 3904625 5653897 13275725 28269485 66378625 96116249 141347425 480581245 706737125 2402906225 12014531125