242128512 has 96 divisors (see below), whose sum is σ = 703986660. Its totient is φ = 79872000.

The previous prime is 242128487. The next prime is 242128519. The reversal of 242128512 is 215821242.

242128512 is a `hidden beast` number, since 24 + 2 + 128 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 229340736 + 12787776 = 15144^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (242128519) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 115312 + ... + 117392.

Almost surely, 2^242128512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351993330).

242128512 is an abundant number, since it is smaller than the sum of its proper divisors (461858148).

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

242128512 is a wasteful number, since it uses less digits than its factorization.

242128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2187 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 242128512 is about 15560.4791699999. The cubic root of 242128512 is about 623.2782582305.

Adding to 242128512 its reverse (215821242), we get a palindrome (457949754).

The spelling of 242128512 in words is "two hundred forty-two million, one hundred twenty-eight thousand, five hundred twelve".