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12325124448 = 25327213232127
BaseRepresentation
bin10110111101010001…
…00111100101100000
31011210221220012020200
423132220213211200
5200220212440243
65355002105200
7614266554300
oct133650474540
934727805220
1012325124448
11525523646a
12247b7ab200
13121561b360
1484cc91600
154c2093ad3
hex2dea27960

12325124448 has 648 divisors, whose sum is σ = 46261732608. Its totient is φ = 3084770304.

The previous prime is 12325124447. The next prime is 12325124467. The reversal of 12325124448 is 84442152321.

12325124448 is a `hidden beast` number, since 123 + 251 + 244 + 48 = 666.

12325124448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12325124447) 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 107 ways as a sum of consecutive naturals, for example, 97048161 + ... + 97048287.

Almost surely, 212325124448 is an apocalyptic number.

12325124448 is a gapful number since it is divisible by the number (18) 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 12325124448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23130866304).

12325124448 is an abundant number, since it is smaller than the sum of its proper divisors (33936608160).

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

12325124448 is a wasteful number, since it uses less digits than its factorization.

12325124448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 175 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 12325124448 its reverse (84442152321), we get a palindrome (96767276769).

The spelling of 12325124448 in words is "twelve billion, three hundred twenty-five million, one hundred twenty-four thousand, four hundred forty-eight".