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12421232320 = 26575545193
BaseRepresentation
bin10111001000101110…
…01111011011000000
31012001122201222110111
423210113033123000
5200414313413240
65412314041104
7616544506210
oct134427173300
935048658414
1012421232320
1152a4509762
1224a7a19194
13122c4cb413
1485b94c240
154ca72a1ea
hex2e45cf6c0

12421232320 has 56 divisors (see below), whose sum is σ = 33803502624. Its totient is φ = 4258707456.

The previous prime is 12421232293. The next prime is 12421232321. The reversal of 12421232320 is 2323212421.

12421232320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 12421232291 and 12421232300.

It is not an unprimeable number, because it can be changed into a prime (12421232321) 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 7 ways as a sum of consecutive naturals, for example, 2770357 + ... + 2774836.

Almost surely, 212421232320 is an apocalyptic number.

12421232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12421232320 is an abundant number, since it is smaller than the sum of its proper divisors (21382270304).

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

12421232320 is an equidigital number, since it uses as much as digits as its factorization.

12421232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545217 (or 5545207 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12421232320 its reverse (2323212421), we get a palindrome (14744444741).

The spelling of 12421232320 in words is "twelve billion, four hundred twenty-one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5545193 11090386 22180772 27725965 38816351 44361544 55451930 77632702 88723088 110903860 155265404 177446176 194081755 221807720 310530808 354892352 388163510 443615440 621061616 776327020 887230880 1242123232 1552654040 1774461760 2484246464 3105308080 6210616160 12421232320