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12740009443200 = 2735521319113587
BaseRepresentation
bin1011100101100100001110…
…1111001011111110000000
31200002221012011101210200000
42321121003233023332000
53132213014404140300
643032402440400000
72453302211340024
oct271310357137600
950087164353600
1012740009443200
11407200a221336
121519123476000
137154bab67370
1432089682c384
151715e4727c00
hexb9643bcbf80

12740009443200 has 2304 divisors, whose sum is σ = 54006180883200. Its totient is φ = 2939641528320.

The previous prime is 12740009443163. The next prime is 12740009443223. The reversal of 12740009443200 is 234490004721.

12740009443200 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 0 + 0 + 0 + 9 + 443 + 200 = 666.

It is a super-2 number, since 2×127400094432002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21703593307 + ... + 21703593893.

It is an arithmetic number, because the mean of its divisors is an integer number (23440182675).

Almost surely, 212740009443200 is an apocalyptic number.

12740009443200 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 12740009443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27003090441600).

12740009443200 is an abundant number, since it is smaller than the sum of its proper divisors (41266171440000).

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

12740009443200 is a wasteful number, since it uses less digits than its factorization.

12740009443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 12740009443200 its reverse (234490004721), we get a palindrome (12974499447921).

The spelling of 12740009443200 in words is "twelve trillion, seven hundred forty billion, nine million, four hundred forty-three thousand, two hundred".