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12500012500 = 22551019901
BaseRepresentation
bin10111010010000111…
…10000110111010100
31012021010222102112221
423221003300313110
5201100000400000
65424210352124
7621522232063
oct135103606724
935233872487
1012500012500
115334a27448
12250a28b644
131242922501
148681b81da
154d25dc61a
hex2e90f0dd4

12500012500 has 72 divisors (see below), whose sum is σ = 27615529368. Its totient is φ = 4950000000.

The previous prime is 12500012491. The next prime is 12500012509. The reversal of 12500012500 is 521000521.

12500012500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12500012491) and next prime (12500012509).

It can be written as a sum of positive squares in 12 ways, for example, as 8244276804 + 4255735696 = 90798^2 + 65236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12500012509) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1257550 + ... + 1267450.

It is an arithmetic number, because the mean of its divisors is an integer number (383549019).

Almost surely, 212500012500 is an apocalyptic number.

12500012500 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 12500012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807764684).

12500012500 is an abundant number, since it is smaller than the sum of its proper divisors (15115516868).

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

12500012500 is an equidigital number, since it uses as much as digits as its factorization.

12500012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10031 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The spelling of 12500012500 in words is "twelve billion, five hundred million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 250 404 500 505 625 1010 1250 2020 2500 2525 3125 5050 6250 9901 10100 12500 12625 19802 25250 39604 49505 50500 63125 99010 126250 198020 247525 252500 315625 495050 631250 990100 1000001 1237625 1262500 2000002 2475250 4000004 4950500 5000005 6188125 10000010 12376250 20000020 24752500 25000025 30940625 50000050 61881250 100000100 123762500 125000125 250000250 500000500 625000625 1250001250 2500002500 3125003125 6250006250 12500012500