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12031320384 = 2632731012833
BaseRepresentation
bin10110011010001111…
…10110000101000000
31011001111001101211200
423031013312011000
5144120004223014
65305504541200
7604101351546
oct131507660500
934044041750
1012031320384
115114404096
1223b9321800
1311997ac7b5
14821c51d96
154a63aaa09
hex2cd1f6140

12031320384 has 168 divisors, whose sum is σ = 35316593832. Its totient is φ = 3914956800.

The previous prime is 12031320383. The next prime is 12031320397. The reversal of 12031320384 is 48302313021.

It can be written as a sum of positive squares in 4 ways, for example, as 4587081984 + 7444238400 = 67728^2 + 86280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031320383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4245432 + ... + 4248264.

Almost surely, 212031320384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658296916).

12031320384 is an abundant number, since it is smaller than the sum of its proper divisors (23285273448).

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

12031320384 is a wasteful number, since it uses less digits than its factorization.

12031320384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12031320384 in words is "twelve billion, thirty-one million, three hundred twenty thousand, three hundred eighty-four".