Search a number
-
+
12505148000 = 255329671609
BaseRepresentation
bin10111010010101110…
…10110101001100000
31012021111122100010122
423221113112221200
5201102304214000
65424512415412
7621614001302
oct135127265140
935244570118
1012505148000
115337914864
12250bb47568
1312439ccb77
14868b53972
154d2ca4085
hex2e95d6a60

12505148000 has 192 divisors, whose sum is σ = 32279083200. Its totient is φ = 4754534400.

The previous prime is 12505147987. The next prime is 12505148023. The reversal of 12505148000 is 84150521.

12505148000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7771196 + ... + 7772804.

It is an arithmetic number, because the mean of its divisors is an integer number (168120225).

Almost surely, 212505148000 is an apocalyptic number.

12505148000 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 12505148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139541600).

12505148000 is an abundant number, since it is smaller than the sum of its proper divisors (19773935200).

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

12505148000 is a wasteful number, since it uses less digits than its factorization.

12505148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 12505148000 its reverse (84150521), we get a palindrome (12589298521).

The spelling of 12505148000 in words is "twelve billion, five hundred five million, one hundred forty-eight thousand".