242124120 has 128 divisors (see below), whose sum is σ = 922406400. Its totient is φ = 55340928.

The previous prime is 242124109. The next prime is 242124133. The reversal of 242124120 is 21421242.

242124120 is a `hidden beast` number, since 2 + 421 + 241 + 2 + 0 = 666.

242124120 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 242124093 and 242124102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8454 + ... + 23573.

It is an arithmetic number, because the mean of its divisors is an integer number (7206300).

Almost surely, 2^242124120 is an apocalyptic number.

242124120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242124120 is an abundant number, since it is smaller than the sum of its proper divisors (680282280).

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

242124120 is a wasteful number, since it uses less digits than its factorization.

242124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32054 (or 32044 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242124120 is about 15560.3380426005. The cubic root of 242124120 is about 623.2744896330.

Adding to 242124120 its reverse (21421242), we get a palindrome (263545362).

The spelling of 242124120 in words is "two hundred forty-two million, one hundred twenty-four thousand, one hundred twenty".