242401120 has 48 divisors (see below), whose sum is σ = 616729680. Its totient is φ = 89501184.

The previous prime is 242401073. The next prime is 242401193. The reversal of 242401120 is 21104242.

242401120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 242401094 and 242401103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56190 + ... + 60349.

It is an arithmetic number, because the mean of its divisors is an integer number (12848535).

Almost surely, 2^242401120 is an apocalyptic number.

242401120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242401120 is an abundant number, since it is smaller than the sum of its proper divisors (374328560).

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

242401120 is a wasteful number, since it uses less digits than its factorization.

242401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116567 (or 116559 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 242401120 is about 15569.2363332310. The cubic root of 242401120 is about 623.5120829756.

Adding to 242401120 its reverse (21104242), we get a palindrome (263505362).

The spelling of 242401120 in words is "two hundred forty-two million, four hundred one thousand, one hundred twenty".