122248320 has 64 divisors (see below), whose sum is σ = 389672640. Its totient is φ = 32599040.

The previous prime is 122248303. The next prime is 122248327. The reversal of 122248320 is 23842221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122248327) 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 7 ways as a sum of consecutive naturals, for example, 29916 + ... + 33755.

It is an arithmetic number, because the mean of its divisors is an integer number (6088635).

Almost surely, 2^122248320 is an apocalyptic number.

122248320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122248320 is an abundant number, since it is smaller than the sum of its proper divisors (267424320).

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

122248320 is an equidigital number, since it uses as much as digits as its factorization.

122248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63693 (or 63681 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 122248320 is about 11056.5962212609. The cubic root of 122248320 is about 496.3038374252.

The spelling of 122248320 in words is "one hundred twenty-two million, two hundred forty-eight thousand, three hundred twenty".