122109984 has 96 divisors (see below), whose sum is σ = 360864000. Its totient is φ = 40165632.

The previous prime is 122109973. The next prime is 122109991. The reversal of 122109984 is 489901221.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67362 + ... + 69150.

It is an arithmetic number, because the mean of its divisors is an integer number (3759000).

Almost surely, 2^122109984 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 122109984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180432000).

122109984 is an abundant number, since it is smaller than the sum of its proper divisors (238754016).

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

122109984 is a wasteful number, since it uses less digits than its factorization.

122109984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 122109984 is about 11050.3386373450. The cubic root of 122109984 is about 496.1165612286.

The spelling of 122109984 in words is "one hundred twenty-two million, one hundred nine thousand, nine hundred eighty-four".