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12725143200 = 25335272111093
BaseRepresentation
bin10111101100111101…
…00100011010100000
31012211211121020211000
423312132210122200
5202030114040300
65502411552000
7630224634600
oct136636443240
935754536730
1012725143200
115440014480
12257175b600
13127a468343
1488a05cc00
154e725cc00
hex2f67a46a0

12725143200 has 864 divisors, whose sum is σ = 58456883520. Its totient is φ = 2641766400.

The previous prime is 12725143181. The next prime is 12725143271. The reversal of 12725143200 is 234152721.

12725143200 is a `hidden beast` number, since 127 + 2 + 514 + 3 + 20 + 0 = 666.

12725143200 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 (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 11641854 + ... + 11642946.

It is an arithmetic number, because the mean of its divisors is an integer number (67658430).

Almost surely, 212725143200 is an apocalyptic number.

12725143200 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 12725143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29228441760).

12725143200 is an abundant number, since it is smaller than the sum of its proper divisors (45731740320).

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

12725143200 is a wasteful number, since it uses less digits than its factorization.

12725143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 12725143200 its reverse (234152721), we get a palindrome (12959295921).

The spelling of 12725143200 in words is "twelve billion, seven hundred twenty-five million, one hundred forty-three thousand, two hundred".