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12882250000 = 24562272
BaseRepresentation
bin10111111111101011…
…11000100100010000
31020020210020002211101
423333311320210100
5202340324000000
65530143154144
7634143214114
oct137765704420
936223202741
1012882250000
115510770104
1225b62a5954
1312a3b84c49
148a2c77744
15505e42e6a
hex2ffd78910

12882250000 has 105 divisors (see below), whose sum is σ = 31336844977. Its totient is φ = 5130200000.

The previous prime is 12882249971. The next prime is 12882250001. The reversal of 12882250000 is 5228821.

The square root of 12882250000 is 113500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 11286087696 + 1596162304 = 106236^2 + 39952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12882250001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 56749887 + ... + 56750113.

Almost surely, 212882250000 is an apocalyptic number.

12882250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12882250000 is the 113500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12882250000

12882250000 is an abundant number, since it is smaller than the sum of its proper divisors (18454594977).

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

12882250000 is an frugal number, since it uses more digits than its factorization.

12882250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

Adding to 12882250000 its reverse (5228821), we get a palindrome (12887478821).

The spelling of 12882250000 in words is "twelve billion, eight hundred eighty-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 227 250 400 454 500 625 908 1000 1135 1250 1816 2000 2270 2500 3125 3632 4540 5000 5675 6250 9080 10000 11350 12500 15625 18160 22700 25000 28375 31250 45400 50000 51529 56750 62500 90800 103058 113500 125000 141875 206116 227000 250000 257645 283750 412232 454000 515290 567500 709375 824464 1030580 1135000 1288225 1418750 2061160 2270000 2576450 2837500 3546875 4122320 5152900 5675000 6441125 7093750 10305800 11350000 12882250 14187500 20611600 25764500 28375000 32205625 51529000 56750000 64411250 103058000 128822500 161028125 257645000 322056250 515290000 644112500 805140625 1288225000 1610281250 2576450000 3220562500 6441125000 12882250000