242111120 has 20 divisors (see below), whose sum is σ = 562908540. Its totient is φ = 96844416.

The previous prime is 242111119. The next prime is 242111137. The reversal of 242111120 is 21111242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 171819664 + 70291456 = 13108^2 + 8384^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 242111095 and 242111104.

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, 1513115 + ... + 1513274.

It is an arithmetic number, because the mean of its divisors is an integer number (28145427).

Almost surely, 2^242111120 is an apocalyptic number.

242111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242111120 is an abundant number, since it is smaller than the sum of its proper divisors (320797420).

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

242111120 is a wasteful number, since it uses less digits than its factorization.

242111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026402 (or 3026396 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 242111120 is about 15559.9203082792. The cubic root of 242111120 is about 623.2633345921.

Adding to 242111120 its reverse (21111242), we get a palindrome (263222362).

The spelling of 242111120 in words is "two hundred forty-two million, one hundred eleven thousand, one hundred twenty".