242122224300 has 288 divisors, whose sum is σ = 788259548160. Its totient is φ = 56864102400.

The previous prime is 242122224229. The next prime is 242122224317. The reversal of 242122224300 is 3422221242.

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 95 ways as a sum of consecutive naturals, for example, 29177752 + ... + 29186048.

It is an arithmetic number, because the mean of its divisors is an integer number (2737012320).

Almost surely, 2^242122224300 is an apocalyptic number.

242122224300 is a gapful number since it is divisible by the number (20) 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 242122224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394129774080).

242122224300 is an abundant number, since it is smaller than the sum of its proper divisors (546137323860).

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

242122224300 is a wasteful number, since it uses less digits than its factorization.

242122224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8601 (or 8594 counting only the distinct ones).

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

Adding to 242122224300 its reverse (3422221242), we get a palindrome (245544445542).

The spelling of 242122224300 in words is "two hundred forty-two billion, one hundred twenty-two million, two hundred twenty-four thousand, three hundred".