242420120134300 has 144 divisors (see below), whose sum is σ = 547237837036800. Its totient is φ = 93113653248000.

The previous prime is 242420120134271. The next prime is 242420120134303. The reversal of 242420120134300 is 3431021024242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242420120134303) 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, 251452782 + ... + 252415018.

It is an arithmetic number, because the mean of its divisors is an integer number (3800262757200).

Almost surely, 2^{242420120134300} is an apocalyptic number.

242420120134300 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 242420120134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273618918518400).

242420120134300 is an abundant number, since it is smaller than the sum of its proper divisors (304817716902500).

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

242420120134300 is a wasteful number, since it uses less digits than its factorization.

242420120134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962912 (or 962905 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 242420120134300 its reverse (3431021024242), we get a palindrome (245851141158542).

The spelling of 242420120134300 in words is "two hundred forty-two trillion, four hundred twenty billion, one hundred twenty million, one hundred thirty-four thousand, three hundred".