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12708255456000 = 283353139831151
BaseRepresentation
bin1011100011101101111100…
…0011010101101100000000
31122222220020011200010012000
42320323133003111230000
53131203001344043000
643010031510304000
72451066263033616
oct270733703255400
948886204603160
1012708255456000
11405a5a49a0805
121512b41058000
137124ca2a2820
1431d1234876b6
15170886b34000
hexb8edf0d5b00

12708255456000 has 1152 divisors, whose sum is σ = 50603563745280. Its totient is φ = 3122288640000.

The previous prime is 12708255455993. The next prime is 12708255456011. The reversal of 12708255456000 is 65455280721.

12708255456000 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 82 + 5 + 5 + 4 + 560 + 0 + 0 = 666.

12708255456000 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 (1152).

It is a super-2 number, since 2×127082554560002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11041055425 + ... + 11041056575.

It is an arithmetic number, because the mean of its divisors is an integer number (43926704640).

Almost surely, 212708255456000 is an apocalyptic number.

12708255456000 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 12708255456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25301781872640).

12708255456000 is an abundant number, since it is smaller than the sum of its proper divisors (37895308289280).

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

12708255456000 is a wasteful number, since it uses less digits than its factorization.

12708255456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 12708255456000 in words is "twelve trillion, seven hundred eight billion, two hundred fifty-five million, four hundred fifty-six thousand".