243210142120 has 128 divisors (see below), whose sum is σ = 601849543680. Its totient is φ = 87720192000.

The previous prime is 243210142081. The next prime is 243210142139. The reversal of 243210142120 is 21241012342.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 243210142091 and 243210142100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27567310 + ... + 27576130.

It is an arithmetic number, because the mean of its divisors is an integer number (4701949560).

Almost surely, 2^243210142120 is an apocalyptic number.

243210142120 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 243210142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300924771840).

243210142120 is an abundant number, since it is smaller than the sum of its proper divisors (358639401560).

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

243210142120 is a wasteful number, since it uses less digits than its factorization.

243210142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347 (or 9343 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 243210142120 its reverse (21241012342), we get a palindrome (264451154462).

The spelling of 243210142120 in words is "two hundred forty-three billion, two hundred ten million, one hundred forty-two thousand, one hundred twenty".