243121013982 has 288 divisors, whose sum is σ = 673727169024. Its totient is φ = 61548595200.

The previous prime is 243121013959. The next prime is 243121013983. The reversal of 243121013982 is 289310121342.

243121013982 is a `hidden beast` number, since 2 + 431 + 2 + 10 + 139 + 82 = 666.

243121013982 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243121013983) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1343209932 + ... + 1343210112.

It is an arithmetic number, because the mean of its divisors is an integer number (2339330448).

Almost surely, 2^243121013982 is an apocalyptic number.

243121013982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243121013982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336863584512).

243121013982 is an abundant number, since it is smaller than the sum of its proper divisors (430606155042).

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

243121013982 is a wasteful number, since it uses less digits than its factorization.

243121013982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 243121013982 in words is "two hundred forty-three billion, one hundred twenty-one million, thirteen thousand, nine hundred eighty-two".