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12125438298 = 2322931773277
BaseRepresentation
bin10110100101011101…
…11000000101011010
31011022001011002100100
423102232320011122
5144313103011143
65323110120230
7606323345031
oct132256700532
934261132310
1012125438298
115162548296
122424950076
1311b3143b7c
14830551718
154ae79c6d3
hex2d2bb815a

12125438298 has 48 divisors (see below), whose sum is σ = 27263812680. Its totient is φ = 3890076288.

The previous prime is 12125438293. The next prime is 12125438317. The reversal of 12125438298 is 89283452121.

12125438298 is a `hidden beast` number, since 1 + 2 + 12 + 543 + 8 + 2 + 98 = 666.

12125438298 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 4 ways, for example, as 5354287929 + 6771150369 = 73173^2 + 82287^2 .

It is not an unprimeable number, because it can be changed into a prime (12125438293) 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 23 ways as a sum of consecutive naturals, for example, 128836 + ... + 202112.

Almost surely, 212125438298 is an apocalyptic number.

12125438298 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12125438298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631906340).

12125438298 is an abundant number, since it is smaller than the sum of its proper divisors (15138374382).

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

12125438298 is a wasteful number, since it uses less digits than its factorization.

12125438298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73631 (or 73628 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 12125438298 in words is "twelve billion, one hundred twenty-five million, four hundred thirty-eight thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 317 522 634 951 1902 2853 5706 9193 18386 27579 55158 73277 82737 146554 165474 219831 439662 659493 1318986 2125033 4250066 6375099 12750198 19125297 23228809 38250594 46457618 69686427 139372854 209059281 418118562 673635461 1347270922 2020906383 4041812766 6062719149 12125438298