122809120 has 96 divisors (see below), whose sum is σ = 338784768. Its totient is φ = 41192448.

The previous prime is 122809117. The next prime is 122809157. The reversal of 122809120 is 21908221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51474 + ... + 53806.

It is an arithmetic number, because the mean of its divisors is an integer number (3529008).

Almost surely, 2^122809120 is an apocalyptic number.

122809120 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 122809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169392384).

122809120 is an abundant number, since it is smaller than the sum of its proper divisors (215975648).

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

122809120 is a wasteful number, since it uses less digits than its factorization.

122809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 122809120 is about 11081.9276301553. The cubic root of 122809120 is about 497.0615920116.

The spelling of 122809120 in words is "one hundred twenty-two million, eight hundred nine thousand, one hundred twenty".