243131342123120 has 160 divisors (see below), whose sum is σ = 622841873515200. Its totient is φ = 87526656000000.

The previous prime is 243131342123119. The next prime is 243131342123147. The reversal of 243131342123120 is 21321243131342.

It is a super-2 number, since 2×243131342123120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857461370 + ... + 857744870.

It is an arithmetic number, because the mean of its divisors is an integer number (3892761709470).

Almost surely, 2^{243131342123120} is an apocalyptic number.

243131342123120 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 243131342123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311420936757600).

243131342123120 is an abundant number, since it is smaller than the sum of its proper divisors (379710531392080).

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

243131342123120 is a wasteful number, since it uses less digits than its factorization.

243131342123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293275 (or 293269 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 243131342123120 its reverse (21321243131342), we get a palindrome (264452585254462).

The spelling of 243131342123120 in words is "two hundred forty-three trillion, one hundred thirty-one billion, three hundred forty-two million, one hundred twenty-three thousand, one hundred twenty".