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12114342303232 = 29131925985453
BaseRepresentation
bin1011000001001001011100…
…0100011101011000000000
31120220010020100021221101011
42300102113010131120000
53041440133112200412
641433130234250304
72360142460366111
oct260222704353000
946803210257334
1012114342303232
113950733456674
121437a10886994
1369b4ba6cac90
142dc4a177c208
151601c63567a7
hexb049711d600

12114342303232 has 240 divisors, whose sum is σ = 27977718217680. Its totient is φ = 5207119478784.

The previous prime is 12114342303227. The next prime is 12114342303247. The reversal of 12114342303232 is 23230324341121.

It is a super-3 number, since 3×121143423032323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12114342303194 and 12114342303203.

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, 141723418 + ... + 141808870.

It is an arithmetic number, because the mean of its divisors is an integer number (116573825907).

Almost surely, 212114342303232 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 12114342303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988859108840).

12114342303232 is an abundant number, since it is smaller than the sum of its proper divisors (15863375914448).

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

12114342303232 is an equidigital number, since it uses as much as digits as its factorization.

12114342303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85581 (or 85546 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 12114342303232 its reverse (23230324341121), we get a palindrome (35344666644353).

The spelling of 12114342303232 in words is "twelve trillion, one hundred fourteen billion, three hundred forty-two million, three hundred three thousand, two hundred thirty-two".