142442220023200 has 144 divisors (see below), whose sum is σ = 348096982789080. Its totient is φ = 56917947269120.

The previous prime is 142442220023189. The next prime is 142442220023237. The reversal of 142442220023200 is 2320022244241.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 16949260834704 + 125492959188496 = 4116948^2 + 11202364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3184538436 + ... + 3184583164.

Almost surely, 2^{142442220023200} is an apocalyptic number.

142442220023200 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 142442220023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174048491394540).

142442220023200 is an abundant number, since it is smaller than the sum of its proper divisors (205654762765880).

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

142442220023200 is a wasteful number, since it uses less digits than its factorization.

142442220023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48779 (or 48766 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 142442220023200 its reverse (2320022244241), we get a palindrome (144762242267441).

The spelling of 142442220023200 in words is "one hundred forty-two trillion, four hundred forty-two billion, two hundred twenty million, twenty-three thousand, two hundred".