242134340120024 has 128 divisors (see below), whose sum is σ = 522274642560000. Its totient is φ = 104081976535680.

The previous prime is 242134340120021. The next prime is 242134340120047. The reversal of 242134340120024 is 420021043431242.

It is a happy number.

242134340120024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242134340120021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2336723687 + ... + 2336827305.

It is an arithmetic number, because the mean of its divisors is an integer number (4080270645000).

Almost surely, 2^{242134340120024} 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 242134340120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261137321280000).

242134340120024 is an abundant number, since it is smaller than the sum of its proper divisors (280140302439976).

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

242134340120024 is a wasteful number, since it uses less digits than its factorization.

242134340120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106141 (or 106137 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 242134340120024 its reverse (420021043431242), we get a palindrome (662155383551266).

The spelling of 242134340120024 in words is "two hundred forty-two trillion, one hundred thirty-four billion, three hundred forty million, one hundred twenty thousand, twenty-four".