Search a number
-
+
12305280000 = 210354131729
BaseRepresentation
bin10110111010111001…
…11010110000000000
31011202120112222210010
423131130322300000
5200200122430000
65353012504520
7613636103616
oct133534726000
934676488703
1012305280000
115245011aa2
12247501b140
131211490990
1484a3a76b6
154c0473d50
hex2dd73ac00

12305280000 has 880 divisors, whose sum is σ = 48344899680. Its totient is φ = 2752512000.

The previous prime is 12305279989. The next prime is 12305280011. The reversal of 12305280000 is 8250321.

It is an interprime number because it is at equal distance from previous prime (12305279989) and next prime (12305280011).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 424319986 + ... + 424320014.

It is an arithmetic number, because the mean of its divisors is an integer number (54937386).

Almost surely, 212305280000 is an apocalyptic number.

12305280000 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 12305280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24172449840).

12305280000 is an abundant number, since it is smaller than the sum of its proper divisors (36039619680).

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

12305280000 is a wasteful number, since it uses less digits than its factorization.

12305280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 12305280000 in words is "twelve billion, three hundred five million, two hundred eighty thousand".