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12014104425 = 352173726883
BaseRepresentation
bin10110011000001100…
…01010111101101001
31011000021122201222120
423030012022331221
5144101102320200
65304051541453
7603502126341
oct131406127551
934007581876
1012014104425
115105715524
1223b35ba889
13119606263b
1481d84dd21
154a4b099a0
hex2cc18af69

12014104425 has 72 divisors (see below), whose sum is σ = 21618678816. Its totient is φ = 5866767360.

The previous prime is 12014104423. The next prime is 12014104433. The reversal of 12014104425 is 52440141021.

12014104425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12014104425 - 21 = 12014104423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12014104395 and 12014104404.

It is not an unprimeable number, because it can be changed into a prime (12014104423) 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 71 ways as a sum of consecutive naturals, for example, 1742034 + ... + 1748916.

It is an arithmetic number, because the mean of its divisors is an integer number (300259428).

Almost surely, 212014104425 is an apocalyptic number.

12014104425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12014104425 is a deficient number, since it is larger than the sum of its proper divisors (9604574391).

12014104425 is a wasteful number, since it uses less digits than its factorization.

12014104425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 12014104425 its reverse (52440141021), we get a palindrome (64454245446).

The spelling of 12014104425 in words is "twelve billion, fourteen million, one hundred four thousand, four hundred twenty-five".

Divisors: 1 3 5 15 17 25 37 51 75 85 111 185 255 425 555 629 925 1275 1369 1887 2775 3145 4107 6845 6883 9435 15725 20535 20649 23273 34225 34415 47175 69819 102675 103245 116365 117011 172075 254671 349095 351033 516225 581825 585055 764013 1273355 1745475 1755165 2925275 3820065 4329407 6366775 8775825 9422827 12988221 19100325 21647035 28268481 47114135 64941105 108235175 141342405 160188059 235570675 324705525 480564177 706712025 800940295 2402820885 4004701475 12014104425