122444320 has 48 divisors (see below), whose sum is σ = 292177368. Its totient is φ = 48486400.

The previous prime is 122444297. The next prime is 122444321. The reversal of 122444320 is 23444221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91929744 + 30514576 = 9588^2 + 5524^2 .

It is a super-2 number, since 2×122444320² = 29985223000524800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122444291 and 122444300.

It is not an unprimeable number, because it can be changed into a prime (122444321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12372 + ... + 19948.

Almost surely, 2^122444320 is an apocalyptic number.

122444320 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 122444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146088684).

122444320 is an abundant number, since it is smaller than the sum of its proper divisors (169733048).

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

122444320 is a wasteful number, since it uses less digits than its factorization.

122444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 122444320 is about 11065.4561586950. The cubic root of 122444320 is about 496.5689361229.

Adding to 122444320 its reverse (23444221), we get a palindrome (145888541).

Subtracting from 122444320 its reverse (23444221), we obtain a palindrome (99000099).

The spelling of 122444320 in words is "one hundred twenty-two million, four hundred forty-four thousand, three hundred twenty".