242244430313120 has 192 divisors, whose sum is σ = 612638461048320. Its totient is φ = 90195200704512.

The previous prime is 242244430313113. The next prime is 242244430313143. The reversal of 242244430313120 is 21313034442242.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381459221 + ... + 382093739.

It is an arithmetic number, because the mean of its divisors is an integer number (3190825317960).

Almost surely, 2^{242244430313120} is an apocalyptic number.

242244430313120 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 242244430313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306319230524160).

242244430313120 is an abundant number, since it is smaller than the sum of its proper divisors (370394030735200).

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

242244430313120 is a wasteful number, since it uses less digits than its factorization.

242244430313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636095 (or 636087 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 242244430313120 its reverse (21313034442242), we get a palindrome (263557464755362).

The spelling of 242244430313120 in words is "two hundred forty-two trillion, two hundred forty-four billion, four hundred thirty million, three hundred thirteen thousand, one hundred twenty".