12141330325200 has 180 divisors, whose sum is σ = 42137166715020. Its totient is φ = 3237428520960.

The previous prime is 12141330325153. The next prime is 12141330325207. The reversal of 12141330325200 is 252303314121.

12141330325200 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 330 + 325 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2402586800784 + 9738743524416 = 1550028^2 + 3120696^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×12141330325200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141330325207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47063764 + ... + 47321036.

It is an arithmetic number, because the mean of its divisors is an integer number (234095370639).

Almost surely, 2^{12141330325200} is an apocalyptic number.

12141330325200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141330325200 is an abundant number, since it is smaller than the sum of its proper divisors (29995836389820).

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

12141330325200 is a wasteful number, since it uses less digits than its factorization.

12141330325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270406 (or 270392 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12141330325200 its reverse (252303314121), we get a palindrome (12393633639321).

The spelling of 12141330325200 in words is "twelve trillion, one hundred forty-one billion, three hundred thirty million, three hundred twenty-five thousand, two hundred".