122452328448 has 480 divisors, whose sum is σ = 404842838400. Its totient is φ = 36352032768.

The previous prime is 122452328447. The next prime is 122452328459. The reversal of 122452328448 is 844823254221.

122452328448 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 523 + 2 + 84 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (122452328447) 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 31 ways as a sum of consecutive naturals, for example, 142884436 + ... + 142885292.

It is an arithmetic number, because the mean of its divisors is an integer number (843422580).

Almost surely, 2^122452328448 is an apocalyptic number.

122452328448 is a gapful number since it is divisible by the number (18) 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 122452328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202421419200).

122452328448 is an abundant number, since it is smaller than the sum of its proper divisors (282390509952).

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

122452328448 is an equidigital number, since it uses as much as digits as its factorization.

122452328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 898 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The spelling of 122452328448 in words is "one hundred twenty-two billion, four hundred fifty-two million, three hundred twenty-eight thousand, four hundred forty-eight".