122441320 has 64 divisors (see below), whose sum is σ = 299404800. Its totient is φ = 44893440.

The previous prime is 122441309. The next prime is 122441321. The reversal of 122441320 is 23144221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (122441321) 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 15 ways as a sum of consecutive naturals, for example, 20962 + ... + 26158.

It is an arithmetic number, because the mean of its divisors is an integer number (4678200).

Almost surely, 2^122441320 is an apocalyptic number.

122441320 is a gapful number since it is divisible by the number (10) 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 122441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149702400).

122441320 is an abundant number, since it is smaller than the sum of its proper divisors (176963480).

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

122441320 is a wasteful number, since it uses less digits than its factorization.

122441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 122441320 is about 11065.3206008683. The cubic root of 122441320 is about 496.5648806225.

Adding to 122441320 its reverse (23144221), we get a palindrome (145585541).

The spelling of 122441320 in words is "one hundred twenty-two million, four hundred forty-one thousand, three hundred twenty".