122865984 has 140 divisors (see below), whose sum is σ = 368992404. Its totient is φ = 40421376.

The previous prime is 122865961. The next prime is 122865991. The reversal of 122865984 is 489568221.

It can be written as a sum of positive squares in 2 ways, for example, as 94478400 + 28387584 = 9720^2 + 5328^2 .

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 710122 + ... + 710294.

Almost surely, 2^122865984 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 122865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184496202).

122865984 is an abundant number, since it is smaller than the sum of its proper divisors (246126420).

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

122865984 is a wasteful number, since it uses less digits than its factorization.

122865984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 122865984 is about 11084.4929518675. The cubic root of 122865984 is about 497.1382979028.

The spelling of 122865984 in words is "one hundred twenty-two million, eight hundred sixty-five thousand, nine hundred eighty-four".