121981824 has 96 divisors (see below), whose sum is σ = 369556200. Its totient is φ = 38513664.

The previous prime is 121981799. The next prime is 121981831. The reversal of 121981824 is 428189121.

It is a happy number.

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

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 11 ways as a sum of consecutive naturals, for example, 19102 + ... + 24674.

Almost surely, 2^121981824 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 121981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184778100).

121981824 is an abundant number, since it is smaller than the sum of its proper divisors (247574376).

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

121981824 is a wasteful number, since it uses less digits than its factorization.

121981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5597 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 121981824 is about 11044.5381976794. The cubic root of 121981824 is about 495.9429348154.

The spelling of 121981824 in words is "one hundred twenty-one million, nine hundred eighty-one thousand, eight hundred twenty-four".