242120524200 has 192 divisors, whose sum is σ = 754183872000. Its totient is φ = 64255779840.

The previous prime is 242120524183. The next prime is 242120524201. The reversal of 242120524200 is 2425021242.

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

It is not an unprimeable number, because it can be changed into a prime (242120524201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141672946 + ... + 141674654.

It is an arithmetic number, because the mean of its divisors is an integer number (3928041000).

Almost surely, 2^242120524200 is an apocalyptic number.

242120524200 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 242120524200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377091936000).

242120524200 is an abundant number, since it is smaller than the sum of its proper divisors (512063347800).

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

242120524200 is a wasteful number, since it uses less digits than its factorization.

242120524200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 242120524200 its reverse (2425021242), we get a palindrome (244545545442).

The spelling of 242120524200 in words is "two hundred forty-two billion, one hundred twenty million, five hundred twenty-four thousand, two hundred".