242112320 has 28 divisors (see below), whose sum is σ = 576530724. Its totient is φ = 96844800.

The previous prime is 242112313. The next prime is 242112359. The reversal of 242112320 is 23211242.

242112320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 148254976 + 93857344 = 12176^2 + 9688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 377981 + ... + 378620.

It is an arithmetic number, because the mean of its divisors is an integer number (20590383).

Almost surely, 2^242112320 is an apocalyptic number.

242112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242112320 is an abundant number, since it is smaller than the sum of its proper divisors (334418404).

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

242112320 is an equidigital number, since it uses as much as digits as its factorization.

242112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756618 (or 756608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 242112320 is about 15559.9588688402. The cubic root of 242112320 is about 623.2643643049.

Adding to 242112320 its reverse (23211242), we get a palindrome (265323562).

It can be divided in two parts, 2421 and 12320, that added together give a palindrome (14741).

The spelling of 242112320 in words is "two hundred forty-two million, one hundred twelve thousand, three hundred twenty".