242120545152 has 128 divisors (see below), whose sum is σ = 671932523520. Its totient is φ = 77101516800.

The previous prime is 242120545151. The next prime is 242120545171. The reversal of 242120545152 is 251545021242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242120545151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7234377 + ... + 7267767.

It is an arithmetic number, because the mean of its divisors is an integer number (5249472840).

Almost surely, 2^242120545152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242120545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335966261760).

242120545152 is an abundant number, since it is smaller than the sum of its proper divisors (429811978368).

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

242120545152 is a wasteful number, since it uses less digits than its factorization.

242120545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34252 (or 34240 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 242120545152 its reverse (251545021242), we get a palindrome (493665566394).

The spelling of 242120545152 in words is "two hundred forty-two billion, one hundred twenty million, five hundred forty-five thousand, one hundred fifty-two".