12142333200 has 120 divisors (see below), whose sum is σ = 38933661856. Its totient is φ = 3234816000.

The previous prime is 12142333199. The next prime is 12142333207. The reversal of 12142333200 is 233324121.

12142333200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (12142333207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400880 + ... + 1409520.

Almost surely, 2^12142333200 is an apocalyptic number.

12142333200 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 12142333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466830928).

12142333200 is an abundant number, since it is smaller than the sum of its proper divisors (26791328656).

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

12142333200 is a wasteful number, since it uses less digits than its factorization.

12142333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12142333200 its reverse (233324121), we get a palindrome (12375657321).

The spelling of 12142333200 in words is "twelve billion, one hundred forty-two million, three hundred thirty-three thousand, two hundred".