122416544 has 36 divisors (see below), whose sum is σ = 254383794. Its totient is φ = 57981312.

The previous prime is 122416543. The next prime is 122416559. The reversal of 122416544 is 445614221.

It can be written as a sum of positive squares in only one way, i.e., 121440400 + 976144 = 11020^2 + 988^2 .

It is not an unprimeable number, because it can be changed into a prime (122416543) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6254 + ... + 16850.

Almost surely, 2^122416544 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 122416544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127191897).

122416544 is an abundant number, since it is smaller than the sum of its proper divisors (131967250).

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

122416544 is a wasteful number, since it uses less digits than its factorization.

122416544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645 (or 10618 counting only the distinct ones).

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

The square root of 122416544 is about 11064.2010104661. The cubic root of 122416544 is about 496.5313850634.

The spelling of 122416544 in words is "one hundred twenty-two million, four hundred sixteen thousand, five hundred forty-four".