242542021120 has 320 divisors, whose sum is σ = 692059205376. Its totient is φ = 79785492480.

The previous prime is 242542021021. The next prime is 242542021129. The reversal of 242542021120 is 21120245242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (242542021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48399415 + ... + 48404425.

Almost surely, 2^242542021120 is an apocalyptic number.

242542021120 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 242542021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346029602688).

242542021120 is an abundant number, since it is smaller than the sum of its proper divisors (449517184256).

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

242542021120 is an equidigital number, since it uses as much as digits as its factorization.

242542021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 242542021120 its reverse (21120245242), we get a palindrome (263662266362).

The spelling of 242542021120 in words is "two hundred forty-two billion, five hundred forty-two million, twenty-one thousand, one hundred twenty".