12142232000 has 112 divisors (see below), whose sum is σ = 30804490080. Its totient is φ = 4738304000.

The previous prime is 12142231999. The next prime is 12142232009. The reversal of 12142232000 is 23224121.

12142232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12142232000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142232009) 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 15 ways as a sum of consecutive naturals, for example, 309491 + ... + 346509.

It is an arithmetic number, because the mean of its divisors is an integer number (275040090).

Almost surely, 2^12142232000 is an apocalyptic number.

12142232000 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 12142232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402245040).

12142232000 is an abundant number, since it is smaller than the sum of its proper divisors (18662258080).

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

12142232000 is an equidigital number, since it uses as much as digits as its factorization.

12142232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37087 (or 37067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12142232000 its reverse (23224121), we get a palindrome (12165456121).

The spelling of 12142232000 in words is "twelve billion, one hundred forty-two million, two hundred thirty-two thousand".