243132120 has 384 divisors, whose sum is σ = 1010880000. Its totient is φ = 50238720.

The previous prime is 243132089. The next prime is 243132161. The reversal of 243132120 is 21231342.

It is a super-2 number, since 2×243132120² = 118226455551388800, which contains 22 as substring.

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 = 243132093 and 243132102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1358191 + ... + 1358369.

It is an arithmetic number, because the mean of its divisors is an integer number (2632500).

Almost surely, 2^243132120 is an apocalyptic number.

243132120 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 243132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505440000).

243132120 is an abundant number, since it is smaller than the sum of its proper divisors (767747880).

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

243132120 is a wasteful number, since it uses less digits than its factorization.

243132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 243132120 is about 15592.6944432321. The cubic root of 243132120 is about 624.1382213529.

Adding to 243132120 its reverse (21231342), we get a palindrome (264363462).

The spelling of 243132120 in words is "two hundred forty-three million, one hundred thirty-two thousand, one hundred twenty".