122005344 has 48 divisors (see below), whose sum is σ = 322818048. Its totient is φ = 40344192.

The previous prime is 122005343. The next prime is 122005361. The reversal of 122005344 is 443500221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 122005344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122005343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7189 + ... + 17195.

It is an arithmetic number, because the mean of its divisors is an integer number (6725376).

Almost surely, 2^122005344 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 122005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161409024).

122005344 is an abundant number, since it is smaller than the sum of its proper divisors (200812704).

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

122005344 is a wasteful number, since it uses less digits than its factorization.

122005344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10147 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 122005344 is about 11045.6029260516. The cubic root of 122005344 is about 495.9748079470.

Adding to 122005344 its reverse (443500221), we get a palindrome (565505565).

The spelling of 122005344 in words is "one hundred twenty-two million, five thousand, three hundred forty-four".