122325984 has 192 divisors, whose sum is σ = 397474560. Its totient is φ = 36288000.

The previous prime is 122325979. The next prime is 122325991. The reversal of 122325984 is 489523221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 579639 + ... + 579849.

It is an arithmetic number, because the mean of its divisors is an integer number (2070180).

Almost surely, 2^122325984 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 122325984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198737280).

122325984 is an abundant number, since it is smaller than the sum of its proper divisors (275148576).

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

122325984 is a wasteful number, since it uses less digits than its factorization.

122325984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 122325984 is about 11060.1077752434. The cubic root of 122325984 is about 496.4089153017.

The spelling of 122325984 in words is "one hundred twenty-two million, three hundred twenty-five thousand, nine hundred eighty-four".