121983984 has 60 divisors (see below), whose sum is σ = 343546216. Its totient is φ = 40404096.

The previous prime is 121983943. The next prime is 121983989. The reversal of 121983984 is 489389121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121983989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20874 + ... + 26070.

Almost surely, 2^121983984 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 121983984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171773108).

121983984 is an abundant number, since it is smaller than the sum of its proper divisors (221562232).

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

121983984 is a wasteful number, since it uses less digits than its factorization.

121983984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5365 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 121983984 is about 11044.6359831368. The cubic root of 121983984 is about 495.9458621105.

The spelling of 121983984 in words is "one hundred twenty-one million, nine hundred eighty-three thousand, nine hundred eighty-four".