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12411334125 = 325311032297
BaseRepresentation
bin10111000111100010…
…11110110111101101
31012000222010002200200
423203301132313231
5200404300143000
65411321544113
7616364412411
oct134361366755
935028102620
1012411334125
115299969033
1224a4645039
13122a443cb8
1485a4d2d41
154c9922500
hex2e3c5eded

12411334125 has 24 divisors (see below), whose sum is σ = 22373500344. Its totient is φ = 6619377600.

The previous prime is 12411334123. The next prime is 12411334157. The reversal of 12411334125 is 52143311421.

12411334125 is a `hidden beast` number, since 1 + 241 + 1 + 3 + 3 + 412 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1003812489 + 11407521636 = 31683^2 + 106806^2 .

It is not a de Polignac number, because 12411334125 - 21 = 12411334123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12411334121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5515024 + ... + 5517273.

It is an arithmetic number, because the mean of its divisors is an integer number (932229181).

Almost surely, 212411334125 is an apocalyptic number.

12411334125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12411334125 is a deficient number, since it is larger than the sum of its proper divisors (9962166219).

12411334125 is a wasteful number, since it uses less digits than its factorization.

12411334125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11032318 (or 11032305 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 12411334125 its reverse (52143311421), we get a palindrome (64554645546).

The spelling of 12411334125 in words is "twelve billion, four hundred eleven million, three hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 11032297 33096891 55161485 99290673 165484455 275807425 496453365 827422275 1379037125 2482266825 4137111375 12411334125