243142120 has 64 divisors (see below), whose sum is σ = 593626320. Its totient is φ = 89094144.

The previous prime is 243142103. The next prime is 243142169. The reversal of 243142120 is 21241342.

It can be written as a sum of positive squares in 8 ways, for example, as 133772356 + 109369764 = 11566^2 + 10458^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69534 + ... + 72946.

Almost surely, 2^243142120 is an apocalyptic number.

243142120 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 243142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296813160).

243142120 is an abundant number, since it is smaller than the sum of its proper divisors (350484200).

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

243142120 is a wasteful number, since it uses less digits than its factorization.

243142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 243142120 is about 15593.0151029235. The cubic root of 243142120 is about 624.1467781500.

Adding to 243142120 its reverse (21241342), we get a palindrome (264383462).

It can be divided in two parts, 2431 and 42120, that added together give a triangular number (44551 = T₂₉₈).

The spelling of 243142120 in words is "two hundred forty-three million, one hundred forty-two thousand, one hundred twenty".