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12081212298720 = 25385191095557
BaseRepresentation
bin1010111111001110000001…
…0111100001010111100000
31120202221201110100100000000
42233303200113201113200
53040414310322024340
641410010551300000
72354560463114505
oct257634027412740
946687643310000
1012081212298720
113938682427954
12143150567a600
1369833aa33b06
142daa3b7694ac
1515e3d7a58d30
hexafce05e15e0

12081212298720 has 864 divisors, whose sum is σ = 45485424784800. Its totient is φ = 3023550664704.

The previous prime is 12081212298719. The next prime is 12081212298731. The reversal of 12081212298720 is 2789221218021.

12081212298720 is a `hidden beast` number, since 1 + 2 + 0 + 81 + 212 + 298 + 72 + 0 = 666.

12081212298720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2174050182 + ... + 2174055738.

It is an arithmetic number, because the mean of its divisors is an integer number (52645167575).

Almost surely, 212081212298720 is an apocalyptic number.

12081212298720 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 12081212298720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22742712392400).

12081212298720 is an abundant number, since it is smaller than the sum of its proper divisors (33404212486080).

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

12081212298720 is an equidigital number, since it uses as much as digits as its factorization.

12081212298720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 12081212298720 in words is "twelve trillion, eighty-one billion, two hundred twelve million, two hundred ninety-eight thousand, seven hundred twenty".