122212122222112 has 192 divisors, whose sum is σ = 269406798958080. Its totient is φ = 54210572697600.

The previous prime is 122212122222107. The next prime is 122212122222149. The reversal of 122212122222112 is 211222221212221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411225123 + ... + 411522205.

It is an arithmetic number, because the mean of its divisors is an integer number (1403160411240).

Almost surely, 2^{122212122222112} 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 122212122222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134703399479040).

122212122222112 is an abundant number, since it is smaller than the sum of its proper divisors (147194676735968).

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

122212122222112 is a wasteful number, since it uses less digits than its factorization.

122212122222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297507 (or 297499 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

Adding to 122212122222112 its reverse (211222221212221), we get a palindrome (333434343434333).

The spelling of 122212122222112 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".