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12030332321232 = 24321959131568903
BaseRepresentation
bin1010111100010000011110…
…1011110011110111010000
31120121002101112200200012100
42233010013223303313100
53034101110033234412
641330354113000400
72351106564334641
oct257040753636720
946532345620170
1012030332321232
113919042a68785
121423685b53100
136935bc88b164
142d83b22116c8
1515ce0acdeedc
hexaf107af3dd0

12030332321232 has 240 divisors, whose sum is σ = 36316100620800. Its totient is φ = 3706146213120.

The previous prime is 12030332321191. The next prime is 12030332321237. The reversal of 12030332321232 is 23212323303021.

12030332321232 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 332 + 321 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12030332321196 and 12030332321205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030332321237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20862093 + ... + 21430995.

It is an arithmetic number, because the mean of its divisors is an integer number (151317085920).

Almost surely, 212030332321232 is an apocalyptic number.

12030332321232 is a gapful number since it is divisible by the number (12) 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 12030332321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18158050310400).

12030332321232 is an abundant number, since it is smaller than the sum of its proper divisors (24285768299568).

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

12030332321232 is a wasteful number, since it uses less digits than its factorization.

12030332321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569126 (or 569117 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12030332321232 its reverse (23212323303021), we get a palindrome (35242655624253).

The spelling of 12030332321232 in words is "twelve trillion, thirty billion, three hundred thirty-two million, three hundred twenty-one thousand, two hundred thirty-two".