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12304212032 = 267253181409
BaseRepresentation
bin10110111010110001…
…10110000001000000
31011202111112201210202
423131120312001000
5200144334241112
65352533544332
7613624035200
oct133530660100
934674481722
1012304212032
115244452682
1224747a50a8
1312111a8848
1484a1aa400
154c03126c2
hex2dd636040

12304212032 has 168 divisors, whose sum is σ = 29169405720. Its totient is φ = 5132574720.

The previous prime is 12304211963. The next prime is 12304212047. The reversal of 12304212032 is 23021240321.

It can be written as a sum of positive squares in 4 ways, for example, as 1962135616 + 10342076416 = 44296^2 + 101696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12304211995 and 12304212013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30083444 + ... + 30083852.

It is an arithmetic number, because the mean of its divisors is an integer number (173627415).

Almost surely, 212304212032 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 12304212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584702860).

12304212032 is an abundant number, since it is smaller than the sum of its proper divisors (16865193688).

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

12304212032 is a wasteful number, since it uses less digits than its factorization.

12304212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12304212032 its reverse (23021240321), we get a palindrome (35325452353).

The spelling of 12304212032 in words is "twelve billion, three hundred four million, two hundred twelve thousand, thirty-two".