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12398892000 = 2535311294179
BaseRepresentation
bin10111000110000100…
…00001001111100000
31012000002200222022020
423203002001033200
5200343104021000
65410155141440
7616153562115
oct134302011740
935002628266
1012398892000
115292940090
1224a0444880
1312279a89b1
148589b490c
154c87b5ba0
hex2e30813e0

12398892000 has 768 divisors, whose sum is σ = 47551795200. Its totient is φ = 2795520000.

The previous prime is 12398891969. The next prime is 12398892019. The reversal of 12398892000 is 29889321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156947961 + ... + 156948039.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 212398892000 is an apocalyptic number.

12398892000 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 12398892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775897600).

12398892000 is an abundant number, since it is smaller than the sum of its proper divisors (35152903200).

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

12398892000 is a wasteful number, since it uses less digits than its factorization.

12398892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 12398892000 in words is "twelve billion, three hundred ninety-eight million, eight hundred ninety-two thousand".