12135225600 has 729 divisors, whose sum is σ = 47858623267. Its totient is φ = 3045703680.

The previous prime is 12135225589. The next prime is 12135225623. The reversal of 12135225600 is 652253121.

It is a happy number.

The square root of 12135225600 is 110160.

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

12135225600 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 52 + 2 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 283855104 + 11851370496 = 16848^2 + 108864^2 .

It is a tau number, because it is divible by the number of its divisors (729).

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 713836792 + ... + 713836808.

Almost surely, 2^12135225600 is an apocalyptic number.

12135225600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12135225600 is the 110160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135225600

12135225600 is an abundant number, since it is smaller than the sum of its proper divisors (35723397667).

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

12135225600 is an frugal number, since it uses more digits than its factorization.

12135225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 12135225600 by its product of nonzero digits (3600), we get a square (43686812160000 = 6609600²).

12135225600 divided by its product of nonzero digits (3600) gives a square (3370896 = 1836²).

Adding to 12135225600 its reverse (652253121), we get a palindrome (12787478721).

The spelling of 12135225600 in words is "twelve billion, one hundred thirty-five million, two hundred twenty-five thousand, six hundred".