122412444 has 96 divisors (see below), whose sum is σ = 377104896. Its totient is φ = 29921280.

The previous prime is 122412439. The next prime is 122412481. The reversal of 122412444 is 444214221.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11812 + ... + 19604.

It is an arithmetic number, because the mean of its divisors is an integer number (3928176).

Almost surely, 2^122412444 is an apocalyptic number.

122412444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122412444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188552448).

122412444 is an abundant number, since it is smaller than the sum of its proper divisors (254692452).

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

122412444 is a wasteful number, since it uses less digits than its factorization.

122412444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7833 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 122412444 is about 11064.0157266700. The cubic root of 122412444 is about 496.5258416912.

Adding to 122412444 its reverse (444214221), we get a palindrome (566626665).

The spelling of 122412444 in words is "one hundred twenty-two million, four hundred twelve thousand, four hundred forty-four".