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12508000000 = 28565359
BaseRepresentation
bin10111010011000100…
…01110111100000000
31012021201000020100021
423221202032330000
5201104022000000
65425053503224
7621650150206
oct135142167400
935251006307
1012508000000
115339492591
122510aa1b14
13124448b042
14869297076
154d316911a
hex2e988ef00

12508000000 has 252 divisors, whose sum is σ = 32336304840. Its totient is φ = 4825600000.

The previous prime is 12507999983. The next prime is 12508000007. The reversal of 12508000000 is 80521.

It is a happy number.

It is a sliding number, since 12508000000 = 8000000 + 12500000000 and 1/8000000 + 1/12500000000 = 0.00000012508000000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12508000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 211999971 + ... + 212000029.

It is an arithmetic number, because the mean of its divisors is an integer number (128318670).

Almost surely, 212508000000 is an apocalyptic number.

12508000000 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 12508000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168152420).

12508000000 is an abundant number, since it is smaller than the sum of its proper divisors (19828304840).

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

12508000000 is an frugal number, since it uses more digits than its factorization.

12508000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12508000000 its reverse (80521), we get a palindrome (12508080521).

It can be divided in two parts, 1250 and 8000000, that multiplied together give a 10-th power (10000000000 = 1010).

The spelling of 12508000000 in words is "twelve billion, five hundred eight million", and thus it is an aban number.