243022142000 has 240 divisors, whose sum is σ = 658923763680. Its totient is φ = 85972608000.

The previous prime is 243022141961. The next prime is 243022142017. The reversal of 243022142000 is 241220342.

243022142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30113966 + ... + 30122034.

It is an arithmetic number, because the mean of its divisors is an integer number (2745515682).

Almost surely, 2^243022142000 is an apocalyptic number.

243022142000 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 243022142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329461881840).

243022142000 is an abundant number, since it is smaller than the sum of its proper divisors (415901621680).

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

243022142000 is a wasteful number, since it uses less digits than its factorization.

243022142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 8124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 243022142000 its reverse (241220342), we get a palindrome (243263362342).

The spelling of 243022142000 in words is "two hundred forty-three billion, twenty-two million, one hundred forty-two thousand".