242321243222322 has 128 divisors (see below), whose sum is σ = 588374665482240. Its totient is φ = 73314559080000.

The previous prime is 242321243222321. The next prime is 242321243222323. The reversal of 242321243222322 is 223222342123242.

242321243222322 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 2 + 1 + 2 + 4 + 322 + 2 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (242321243222321) and next prime (242321243222323).

It is not an unprimeable number, because it can be changed into a prime (242321243222321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2910968833 + ... + 2911052075.

It is an arithmetic number, because the mean of its divisors is an integer number (4596677074080).

Almost surely, 2^{242321243222322} is an apocalyptic number.

242321243222322 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 242321243222322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294187332741120).

242321243222322 is an abundant number, since it is smaller than the sum of its proper divisors (346053422259918).

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

242321243222322 is a wasteful number, since it uses less digits than its factorization.

242321243222322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90957 (or 90951 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 242321243222322 its reverse (223222342123242), we get a palindrome (465543585345564).

The spelling of 242321243222322 in words is "two hundred forty-two trillion, three hundred twenty-one billion, two hundred forty-three million, two hundred twenty-two thousand, three hundred twenty-two".