12141434200 has 96 divisors (see below), whose sum is σ = 32332930560. Its totient is φ = 4153564800.

The previous prime is 12141434191. The next prime is 12141434203. The reversal of 12141434200 is 243414121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141434203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638835 + ... + 657565.

It is an arithmetic number, because the mean of its divisors is an integer number (336801360).

Almost surely, 2^12141434200 is an apocalyptic number.

12141434200 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 12141434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166465280).

12141434200 is an abundant number, since it is smaller than the sum of its proper divisors (20191496360).

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

12141434200 is a wasteful number, since it uses less digits than its factorization.

12141434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19217 (or 19208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12141434200 its reverse (243414121), we get a palindrome (12384848321).

The spelling of 12141434200 in words is "twelve billion, one hundred forty-one million, four hundred thirty-four thousand, two hundred".