243121040 has 80 divisors (see below), whose sum is σ = 598461696. Its totient is φ = 91660800.

The previous prime is 243121037. The next prime is 243121057. The reversal of 243121040 is 40121342.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129710 + ... + 131570.

Almost surely, 2^243121040 is an apocalyptic number.

243121040 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 243121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299230848).

243121040 is an abundant number, since it is smaller than the sum of its proper divisors (355340656).

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

243121040 is a wasteful number, since it uses less digits than its factorization.

243121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 243121040 is about 15592.3391445928. The cubic root of 243121040 is about 624.1287401477.

Adding to 243121040 its reverse (40121342), we get a palindrome (283242382).

It can be divided in two parts, 24312 and 1040, that added together give a palindrome (25352).

The spelling of 243121040 in words is "two hundred forty-three million, one hundred twenty-one thousand, forty".