122544416 has 48 divisors (see below), whose sum is σ = 250750080. Its totient is φ = 58909440.

The previous prime is 122544413. The next prime is 122544431. The reversal of 122544416 is 614445221.

It is not an unprimeable number, because it can be changed into a prime (122544413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88046 + ... + 89426.

It is an arithmetic number, because the mean of its divisors is an integer number (5223960).

Almost surely, 2^122544416 is an apocalyptic number.

122544416 is a gapful number since it is divisible by the number (16) 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 122544416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125375040).

122544416 is an abundant number, since it is smaller than the sum of its proper divisors (128205664).

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

122544416 is a wasteful number, since it uses less digits than its factorization.

122544416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 122544416 is about 11069.9781390931. The cubic root of 122544416 is about 496.7042112863.

Adding to 122544416 its reverse (614445221), we get a palindrome (736989637).

The spelling of 122544416 in words is "one hundred twenty-two million, five hundred forty-four thousand, four hundred sixteen".