242109120 has 224 divisors, whose sum is σ = 850611456. Its totient is φ = 57856000.

The previous prime is 242109089. The next prime is 242109137. The reversal of 242109120 is 21901242.

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 31 ways as a sum of consecutive naturals, for example, 1066447 + ... + 1066673.

Almost surely, 2^242109120 is an apocalyptic number.

242109120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425305728).

242109120 is an abundant number, since it is smaller than the sum of its proper divisors (608502336).

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

242109120 is a wasteful number, since it uses less digits than its factorization.

242109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 242109120 is about 15559.8560404652. The cubic root of 242109120 is about 623.2616183966.

The spelling of 242109120 in words is "two hundred forty-two million, one hundred nine thousand, one hundred twenty".