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12332030144 = 2673137103233
BaseRepresentation
bin10110111110000101…
…11101100011000000
31011211102220001002012
423133002331203000
5200223444431034
65355410112052
7614412345440
oct133702754300
934742801065
1012332030144
115259122855
122481b7b628
131216b98675
1484db6c120
154c29a9cce
hex2df0bd8c0

12332030144 has 224 divisors, whose sum is σ = 30066057216. Its totient is φ = 4906967040.

The previous prime is 12332030131. The next prime is 12332030149. The reversal of 12332030144 is 44103023321.

12332030144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (12332030149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52927052 + ... + 52927284.

Almost surely, 212332030144 is an apocalyptic number.

12332030144 is a gapful number since it is divisible by the number (14) 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 12332030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033028608).

12332030144 is an abundant number, since it is smaller than the sum of its proper divisors (17734027072).

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

12332030144 is a wasteful number, since it uses less digits than its factorization.

12332030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12332030144 its reverse (44103023321), we get a palindrome (56435053465).

The spelling of 12332030144 in words is "twelve billion, three hundred thirty-two million, thirty thousand, one hundred forty-four".