242324004120 has 192 divisors, whose sum is σ = 799957589760. Its totient is φ = 58679850240.

The previous prime is 242324004061. The next prime is 242324004137. The reversal of 242324004120 is 21400423242.

242324004120 is digitally balanced in base 2, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13741629 + ... + 13759251.

It is an arithmetic number, because the mean of its divisors is an integer number (4166445780).

Almost surely, 2^242324004120 is an apocalyptic number.

242324004120 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 242324004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399978794880).

242324004120 is an abundant number, since it is smaller than the sum of its proper divisors (557633585640).

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

242324004120 is a wasteful number, since it uses less digits than its factorization.

242324004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18606 (or 18591 counting only the distinct ones).

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

Adding to 242324004120 its reverse (21400423242), we get a palindrome (263724427362).

The spelling of 242324004120 in words is "two hundred forty-two billion, three hundred twenty-four million, four thousand, one hundred twenty".