122441122112 has 56 divisors (see below), whose sum is σ = 248973517800. Its totient is φ = 59708579840.

The previous prime is 122441122061. The next prime is 122441122301. The reversal of 122441122112 is 211221144221.

It can be written as a sum of positive squares in 4 ways, for example, as 14052679936 + 108388442176 = 118544^2 + 329224^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12193958 + ... + 12203994.

It is an arithmetic number, because the mean of its divisors is an integer number (4445955675).

Almost surely, 2^122441122112 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 122441122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124486758900).

122441122112 is an abundant number, since it is smaller than the sum of its proper divisors (126532395688).

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

122441122112 is a wasteful number, since it uses less digits than its factorization.

122441122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14739 (or 14729 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

Adding to 122441122112 its reverse (211221144221), we get a palindrome (333662266333).

The spelling of 122441122112 in words is "one hundred twenty-two billion, four hundred forty-one million, one hundred twenty-two thousand, one hundred twelve".