122819088 has 120 divisors (see below), whose sum is σ = 374321280. Its totient is φ = 34594560.

The previous prime is 122819087. The next prime is 122819093. The reversal of 122819088 is 880918221.

It is not an unprimeable number, because it can be changed into a prime (122819083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185478 + ... + 186138.

It is an arithmetic number, because the mean of its divisors is an integer number (3119344).

Almost surely, 2^122819088 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 122819088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187160640).

122819088 is an abundant number, since it is smaller than the sum of its proper divisors (251502192).

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

122819088 is a wasteful number, since it uses less digits than its factorization.

122819088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 122819088 is about 11082.3773622811. The cubic root of 122819088 is about 497.0750399159.

The spelling of 122819088 in words is "one hundred twenty-two million, eight hundred nineteen thousand, eighty-eight".