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12127314906 = 232796248531
BaseRepresentation
bin10110100101101100…
…00010001111011010
31011022011200102120100
423102312002033122
5144314043034111
65323214240230
7606345322140
oct132266021732
934264612510
1012127314906
11516360a203
1224254b6076
1311b36500a5
148308bd590
154aea1d756
hex2d2d823da

12127314906 has 24 divisors (see below), whose sum is σ = 30029541984. Its totient is φ = 3464947080.

The previous prime is 12127314893. The next prime is 12127314907. The reversal of 12127314906 is 60941372121.

12127314906 is a `hidden beast` number, since 12 + 127 + 31 + 490 + 6 = 666.

12127314906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12127314907) 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 11 ways as a sum of consecutive naturals, for example, 48124140 + ... + 48124391.

It is an arithmetic number, because the mean of its divisors is an integer number (1251230916).

Almost surely, 212127314906 is an apocalyptic number.

12127314906 is an abundant number, since it is smaller than the sum of its proper divisors (17902227078).

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

12127314906 is a wasteful number, since it uses less digits than its factorization.

12127314906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96248546 (or 96248543 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12127314906 in words is "twelve billion, one hundred twenty-seven million, three hundred fourteen thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 96248531 192497062 288745593 577491186 673739717 866236779 1347479434 1732473558 2021219151 4042438302 6063657453 12127314906