122552248128 has 112 divisors (see below), whose sum is σ = 333274294080. Its totient is φ = 39729254400.

The previous prime is 122552248123. The next prime is 122552248187. The reversal of 122552248128 is 821842255221.

It is a self number, because there is not a number n which added to its sum of digits gives 122552248128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122552248123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983583 + ... + 1101153.

It is an arithmetic number, because the mean of its divisors is an integer number (2975663340).

Almost surely, 2^122552248128 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 122552248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166637147040).

122552248128 is an abundant number, since it is smaller than the sum of its proper divisors (210722045952).

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

122552248128 is a wasteful number, since it uses less digits than its factorization.

122552248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117736 (or 117726 counting only the distinct ones).

The product of its digits is 204800, while the sum is 42.

The spelling of 122552248128 in words is "one hundred twenty-two billion, five hundred fifty-two million, two hundred forty-eight thousand, one hundred twenty-eight".