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12004320330 = 23251737534001
BaseRepresentation
bin10110010111000001…
…10110010001001010
31010222121020122201200
423023200312101022
5144041101222310
65303102125030
7603323016312
oct131340662112
933877218650
1012004320330
1151001425a2
1223b0280776
131194018132
1481c424442
154a3d259c0
hex2cb83644a

12004320330 has 192 divisors, whose sum is σ = 34589382048. Its totient is φ = 2875392000.

The previous prime is 12004320283. The next prime is 12004320353. The reversal of 12004320330 is 3302340021.

12004320330 is a `hidden beast` number, since 1 + 200 + 432 + 0 + 3 + 30 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2958598449 + 9045721881 = 54393^2 + 95109^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2998330 + ... + 3002330.

Almost surely, 212004320330 is an apocalyptic number.

12004320330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17294691024).

12004320330 is an abundant number, since it is smaller than the sum of its proper divisors (22585061718).

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

12004320330 is a wasteful number, since it uses less digits than its factorization.

12004320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12004320330 its reverse (3302340021), we get a palindrome (15306660351).

The spelling of 12004320330 in words is "twelve billion, four million, three hundred twenty thousand, three hundred thirty".