12141021200 has 240 divisors, whose sum is σ = 37144479744. Its totient is φ = 3703257600.

The previous prime is 12141021131. The next prime is 12141021203. The reversal of 12141021200 is 212014121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12141021203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1443407 + ... + 1451793.

Almost surely, 2^12141021200 is an apocalyptic number.

12141021200 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 12141021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18572239872).

12141021200 is an abundant number, since it is smaller than the sum of its proper divisors (25003458544).

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

12141021200 is a wasteful number, since it uses less digits than its factorization.

12141021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12141021200 its reverse (212014121), we get a palindrome (12353035321).

The spelling of 12141021200 in words is "twelve billion, one hundred forty-one million, twenty-one thousand, two hundred".