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12856320000 = 213345431
BaseRepresentation
bin10111111100100101…
…11110000000000000
31020011222102201120000
423332102332000000
5202312204220000
65523415320000
7633406626336
oct137622760000
936158381500
1012856320000
1154a806a557
1225a9680000
13129b6a6654
1489d647b56
15503a20000
hex2fe4be000

12856320000 has 700 divisors, whose sum is σ = 49542716256. Its totient is φ = 3317760000.

The previous prime is 12856319947. The next prime is 12856320007. The reversal of 12856320000 is 2365821.

12856320000 is a `hidden beast` number, since 1 + 28 + 5 + 632 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12856320007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 414719985 + ... + 414720015.

Almost surely, 212856320000 is an apocalyptic number.

12856320000 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 12856320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24771358128).

12856320000 is an abundant number, since it is smaller than the sum of its proper divisors (36686396256).

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

12856320000 is an frugal number, since it uses more digits than its factorization.

12856320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12856320000 its reverse (2365821), we get a palindrome (12858685821).

The spelling of 12856320000 in words is "twelve billion, eight hundred fifty-six million, three hundred twenty thousand".