242214223214112 has 192 divisors, whose sum is σ = 652756792988160. Its totient is φ = 78595246540800.

The previous prime is 242214223214099. The next prime is 242214223214123. The reversal of 242214223214112 is 211412322412242.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3996178687 + ... + 3996239297.

It is an arithmetic number, because the mean of its divisors is an integer number (3399774963480).

Almost surely, 2^{242214223214112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242214223214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326378396494080).

242214223214112 is an abundant number, since it is smaller than the sum of its proper divisors (410542569774048).

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

242214223214112 is a wasteful number, since it uses less digits than its factorization.

242214223214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62887 (or 62879 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 242214223214112 its reverse (211412322412242), we get a palindrome (453626545626354).

The spelling of 242214223214112 in words is "two hundred forty-two trillion, two hundred fourteen billion, two hundred twenty-three million, two hundred fourteen thousand, one hundred twelve".