242321120 has 24 divisors (see below), whose sum is σ = 572484024. Its totient is φ = 96928384.

The previous prime is 242321113. The next prime is 242321147. The reversal of 242321120 is 21123242.

It is a super-3 number, since 3×242321120³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 757094 + ... + 757413.

It is an arithmetic number, because the mean of its divisors is an integer number (23853501).

Almost surely, 2^242321120 is an apocalyptic number.

242321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242321120 is an abundant number, since it is smaller than the sum of its proper divisors (330162904).

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

242321120 is a wasteful number, since it uses less digits than its factorization.

242321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514522 (or 1514514 counting only the distinct ones).

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

The square root of 242321120 is about 15566.6669521770. Note that the first 3 decimals coincide. The cubic root of 242321120 is about 623.4434825568.

Adding to 242321120 its reverse (21123242), we get a palindrome (263444362).

It can be divided in two parts, 24232 and 1120, that added together give a palindrome (25352).

The spelling of 242321120 in words is "two hundred forty-two million, three hundred twenty-one thousand, one hundred twenty".