122360448 has 128 divisors (see below), whose sum is σ = 379440000. Its totient is φ = 34922496.

The previous prime is 122360431. The next prime is 122360453. The reversal of 122360448 is 844063221.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131248 + ... + 132176.

It is an arithmetic number, because the mean of its divisors is an integer number (2964375).

Almost surely, 2^122360448 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 122360448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189720000).

122360448 is an abundant number, since it is smaller than the sum of its proper divisors (257079552).

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

122360448 is an frugal number, since it uses more digits than its factorization.

122360448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 122360448 is about 11061.6656973532. The cubic root of 122360448 is about 496.4555301741.

The spelling of 122360448 in words is "one hundred twenty-two million, three hundred sixty thousand, four hundred forty-eight".