242052120 has 96 divisors (see below), whose sum is σ = 832965120. Its totient is φ = 60748800.

The previous prime is 242052119. The next prime is 242052131. The reversal of 242052120 is 21250242.

242052120 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 = 242052093 and 242052102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13656 + ... + 25895.

It is an arithmetic number, because the mean of its divisors is an integer number (8676720).

Almost surely, 2^242052120 is an apocalyptic number.

242052120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242052120 is an abundant number, since it is smaller than the sum of its proper divisors (590913000).

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

242052120 is a wasteful number, since it uses less digits than its factorization.

242052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39585 (or 39578 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242052120 is about 15558.0242961631. The cubic root of 242052120 is about 623.2127028489.

The spelling of 242052120 in words is "two hundred forty-two million, fifty-two thousand, one hundred twenty".