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12014111305000 = 235472411196029
BaseRepresentation
bin1010111011010100000011…
…0101100010110100101000
31120112112112001222200010101
42232311000311202310220
53033314344443230000
641315112340155144
72346663610066300
oct256650065426450
946475461880111
1012014111305000
113912179696142
1214204b9698ab4
13691c0609cabc
142d76b3b8a600
1515c7abbdce6a
hexaed40d62d28

12014111305000 has 240 divisors, whose sum is σ = 33543510531300. Its totient is φ = 4018654080000.

The previous prime is 12014111304977. The next prime is 12014111305033. The reversal of 12014111305000 is 50311141021.

It can be written as a sum of positive squares in 10 ways, for example, as 1395285413284 + 10618825891716 = 1181222^2 + 3258654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9446986 + ... + 10643014.

Almost surely, 212014111305000 is an apocalyptic number.

12014111305000 is a gapful number since it is divisible by the number (10) 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 12014111305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16771755265650).

12014111305000 is an abundant number, since it is smaller than the sum of its proper divisors (21529399226300).

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

12014111305000 is a wasteful number, since it uses less digits than its factorization.

12014111305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196110 (or 1196084 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 12014111305000 its reverse (50311141021), we get a palindrome (12064422446021).

The spelling of 12014111305000 in words is "twelve trillion, fourteen billion, one hundred eleven million, three hundred five thousand".