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12143052800 = 211524872
BaseRepresentation
bin10110100111100100…
…00100100000000000
31011100021021222220022
423103302010200000
5144332110142200
65324535433012
7606626150204
oct132362044000
934307258808
1012143052800
11517148932a
12242a825768
1311b69a0558
14832a18b04
154b10cb885
hex2d3c84800

12143052800 has 108 divisors (see below), whose sum is σ = 30169367865. Its totient is φ = 4847247360.

The previous prime is 12143052793. The next prime is 12143052821. The reversal of 12143052800 is 825034121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11900191744 + 242861056 = 109088^2 + 15584^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=77920.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12143052800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24934157 + ... + 24934643.

Almost surely, 212143052800 is an apocalyptic number.

12143052800 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 12143052800

12143052800 is an abundant number, since it is smaller than the sum of its proper divisors (18026315065).

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

12143052800 is an frugal number, since it uses more digits than its factorization.

12143052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 12143052800 its reverse (825034121), we get a palindrome (12968086921).

The spelling of 12143052800 in words is "twelve billion, one hundred forty-three million, fifty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 487 512 640 800 974 1024 1280 1600 1948 2048 2435 2560 3200 3896 4870 5120 6400 7792 9740 10240 12175 12800 15584 19480 24350 25600 31168 38960 48700 51200 62336 77920 97400 124672 155840 194800 237169 249344 311680 389600 474338 498688 623360 779200 948676 997376 1185845 1246720 1558400 1897352 2371690 2493440 3116800 3794704 4743380 4986880 5929225 6233600 7589408 9486760 11858450 12467200 15178816 18973520 23716900 24934400 30357632 37947040 47433800 60715264 75894080 94867600 121430528 151788160 189735200 242861056 303576320 379470400 485722112 607152640 758940800 1214305280 1517881600 2428610560 3035763200 6071526400 12143052800