243122242221342 has 288 divisors, whose sum is σ = 600764396424192. Its totient is φ = 70930015200000.

The previous prime is 243122242221277. The next prime is 243122242221347.

It is a happy number.

243122242221342 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 222 + 422 + 2 + 1 + 3 + 4 + 2 = 666.

243122242221342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243122242221297 and 243122242221306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243122242221347) 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, 15370937418 + ... + 15370953234.

It is an arithmetic number, because the mean of its divisors is an integer number (2085987487584).

Almost surely, 2^{243122242221342} is an apocalyptic number.

243122242221342 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 243122242221342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300382198212096).

243122242221342 is an abundant number, since it is smaller than the sum of its proper divisors (357642154202850).

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

243122242221342 is a wasteful number, since it uses less digits than its factorization.

243122242221342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17036 (or 17022 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 243122242221342 in words is "two hundred forty-three trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred twenty-one thousand, three hundred forty-two".