122468544 has 224 divisors, whose sum is σ = 416966400. Its totient is φ = 34836480.

The previous prime is 122468503. The next prime is 122468573. The reversal of 122468544 is 445864221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122468499 and 122468508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322947 + ... + 323325.

Almost surely, 2^122468544 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 122468544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208483200).

122468544 is an abundant number, since it is smaller than the sum of its proper divisors (294497856).

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

122468544 is a wasteful number, since it uses less digits than its factorization.

122468544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 122468544 is about 11066.5506821231. The cubic root of 122468544 is about 496.6016805103.

The spelling of 122468544 in words is "one hundred twenty-two million, four hundred sixty-eight thousand, five hundred forty-four".