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12280504320 = 21332574759
BaseRepresentation
bin10110110111111100…
…11010000000000000
31011200211221020221100
423123332122000000
5200122302114240
65350325454400
7613215364410
oct133376320000
934624836840
1012280504320
11523202a727
122468871400
1312092c7906
14846d98640
154bd1cce30
hex2dbf9a000

12280504320 has 336 divisors, whose sum is σ = 48661441920. Its totient is φ = 2806382592.

The previous prime is 12280504309. The next prime is 12280504363. The reversal of 12280504320 is 2340508221.

12280504320 is a `hidden beast` number, since 1 + 228 + 0 + 5 + 0 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2578101 + ... + 2582859.

It is an arithmetic number, because the mean of its divisors is an integer number (144825720).

Almost surely, 212280504320 is an apocalyptic number.

12280504320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12280504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330720960).

12280504320 is an abundant number, since it is smaller than the sum of its proper divisors (36380937600).

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

12280504320 is an equidigital number, since it uses as much as digits as its factorization.

12280504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 12280504320 in words is "twelve billion, two hundred eighty million, five hundred four thousand, three hundred twenty".