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12334332320 = 2551759151509
BaseRepresentation
bin10110111110010111…
…01111100110100000
31011211121020000001222
423133023233212200
5200230042113240
65355531314212
7614441044352
oct133713574640
934747200058
1012334332320
11525a455482
1224828ab968
1312174c34bb
148501ab0d2
154c2cb1eb5
hex2df2ef9a0

12334332320 has 192 divisors, whose sum is σ = 31646764800. Its totient is φ = 4525670400.

The previous prime is 12334332313. The next prime is 12334332323. The reversal of 12334332320 is 2323343321.

It is a self number, because there is not a number n which added to its sum of digits gives 12334332320.

It is not an unprimeable number, because it can be changed into a prime (12334332323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24232226 + ... + 24232734.

It is an arithmetic number, because the mean of its divisors is an integer number (164826900).

Almost surely, 212334332320 is an apocalyptic number.

12334332320 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 12334332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823382400).

12334332320 is an abundant number, since it is smaller than the sum of its proper divisors (19312432480).

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

12334332320 is a wasteful number, since it uses less digits than its factorization.

12334332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 12334332320 its reverse (2323343321), we get a palindrome (14657675641).

The spelling of 12334332320 in words is "twelve billion, three hundred thirty-four million, three hundred thirty-two thousand, three hundred twenty".