12141232303200 has 2304 divisors, whose sum is σ = 54948359079936. Its totient is φ = 2247052492800.

The previous prime is 12141232303199. The next prime is 12141232303223. The reversal of 12141232303200 is 230323214121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12177765102 + ... + 12177766098.

It is an arithmetic number, because the mean of its divisors is an integer number (23849114184).

Almost surely, 2^{12141232303200} is an apocalyptic number.

12141232303200 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 12141232303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474179539968).

12141232303200 is an abundant number, since it is smaller than the sum of its proper divisors (42807126776736).

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

12141232303200 is a wasteful number, since it uses less digits than its factorization.

12141232303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12141232303200 its reverse (230323214121), we get a palindrome (12371555517321).

The spelling of 12141232303200 in words is "twelve trillion, one hundred forty-one billion, two hundred thirty-two million, three hundred three thousand, two hundred".