Search a number
-
+
12560832000000 = 21234562423
BaseRepresentation
bin1011011011001000101111…
…1011011111000000000000
31122110210200222102121020000
42312302023323133000000
53121244040443000000
642414211102120000
72434330061241504
oct266621373370000
948423628377200
1012560832000000
114003023227269
1214aa459280000
13701634772b1b
14315d39d90304
1516bb09350000
hexb6c8bedf000

12560832000000 has 910 divisors, whose sum is σ = 46922310792984. Its totient is φ = 3348172800000.

The previous prime is 12560831999939. The next prime is 12560832000043. The reversal of 12560832000000 is 23806521.

12560832000000 is a `hidden beast` number, since 1 + 2 + 560 + 83 + 20 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 5183998789 + ... + 5184001211.

Almost surely, 212560832000000 is an apocalyptic number.

12560832000000 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 12560832000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23461155396492).

12560832000000 is an abundant number, since it is smaller than the sum of its proper divisors (34361478792984).

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

12560832000000 is an frugal number, since it uses more digits than its factorization.

12560832000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2433 counting only the distinct ones).

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

Adding to 12560832000000 its reverse (23806521), we get a palindrome (12560855806521).

The spelling of 12560832000000 in words is "twelve trillion, five hundred sixty billion, eight hundred thirty-two million", and thus it is an aban number.