142244302200 has 1152 divisors, whose sum is σ = 612005829120. Its totient is φ = 26392780800.

The previous prime is 142244302177. The next prime is 142244302201. The reversal of 142244302200 is 2203442241.

142244302200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142244302201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 822221314 + ... + 822221486.

It is an arithmetic number, because the mean of its divisors is an integer number (531255060).

Almost surely, 2^142244302200 is an apocalyptic number.

142244302200 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 142244302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306002914560).

142244302200 is an abundant number, since it is smaller than the sum of its proper divisors (469761526920).

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

142244302200 is a wasteful number, since it uses less digits than its factorization.

142244302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 142244302200 its reverse (2203442241), we get a palindrome (144447744441).

It can be divided in two parts, 142244 and 302200, that added together give a palindrome (444444).

The spelling of 142244302200 in words is "one hundred forty-two billion, two hundred forty-four million, three hundred two thousand, two hundred".