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12125973924 = 2232183532
BaseRepresentation
bin10110100101100001…
…11010110110100100
31011022002011022002100
423102300322312210
5144313222131144
65323125412100
7606331035441
oct132260726644
934262138070
1012125973924
115162883759
122424b6a030
1311b32a08cc
148306509c8
154ae856269
hex2d2c3ada4

12125973924 has 27 divisors (see below), whose sum is σ = 30653437633. Its totient is φ = 4041771072.

The previous prime is 12125973889. The next prime is 12125973929. The reversal of 12125973924 is 42937952121.

The square root of 12125973924 is 110118.

It is a perfect power (a square), and thus also a powerful number.

12125973924 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 597 + 39 + 24 = 666.

12125973924 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 only one way, i.e., 295496100 + 11830477824 = 17190^2 + 108768^2 .

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 12125973924.

It is not an unprimeable number, because it can be changed into a prime (12125973929) 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 8 ways as a sum of consecutive naturals, for example, 651532 + ... + 669884.

Almost surely, 212125973924 is an apocalyptic number.

12125973924 is the 110118-th square number.

It is an amenable number.

12125973924 is an abundant number, since it is smaller than the sum of its proper divisors (18527463709).

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

12125973924 is an frugal number, since it uses more digits than its factorization.

12125973924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36716 (or 18358 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

It can be divided in two parts, 12125 and 973924, that added together give a square (986049 = 9932).

The spelling of 12125973924 in words is "twelve billion, one hundred twenty-five million, nine hundred seventy-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 18353 36706 55059 73412 110118 165177 220236 330354 660708 336832609 673665218 1010497827 1347330436 2020995654 3031493481 4041991308 6062986962 12125973924