122264320 has 72 divisors (see below), whose sum is σ = 305667936. Its totient is φ = 46768128.

The previous prime is 122264309. The next prime is 122264333. The reversal of 122264320 is 23462221.

It is a junction number, because it is equal to n+sod(n) for n = 122264291 and 122264300.

It is an unprimeable number.

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, 27364 + ... + 31516.

It is an arithmetic number, because the mean of its divisors is an integer number (4245388).

Almost surely, 2^122264320 is an apocalyptic number.

122264320 is a gapful number since it is divisible by the number (10) 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 122264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152833968).

122264320 is an abundant number, since it is smaller than the sum of its proper divisors (183403616).

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

122264320 is an equidigital number, since it uses as much as digits as its factorization.

122264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 122264320 is about 11057.3197475699. The cubic root of 122264320 is about 496.3254887520.

The spelling of 122264320 in words is "one hundred twenty-two million, two hundred sixty-four thousand, three hundred twenty".