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12510000000 = 273257139
BaseRepresentation
bin10111010011010011…
…10111001110000000
31012021211202211211100
423221221313032000
5201110030000000
65425204414400
7622003150131
oct135151671600
935254684740
1012510000000
11533a629183
1225116a7400
131244a0b484
14869657c88
154d3411a00
hex2e9a77380

12510000000 has 384 divisors, whose sum is σ = 45322149600. Its totient is φ = 3312000000.

The previous prime is 12509999921. The next prime is 12510000023. The reversal of 12510000000 is 1521.

It is a happy number.

12510000000 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 89999931 + ... + 90000069.

Almost surely, 212510000000 is an apocalyptic number.

12510000000 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 12510000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661074800).

12510000000 is an abundant number, since it is smaller than the sum of its proper divisors (32812149600).

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

12510000000 is an frugal number, since it uses more digits than its factorization.

12510000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

Adding to 12510000000 its reverse (1521), we get a palindrome (12510001521).

The spelling of 12510000000 in words is "twelve billion, five hundred ten million", and thus it is an aban number.