121916928 has 320 divisors, whose sum is σ = 424258560. Its totient is φ = 30277632.

The previous prime is 121916923. The next prime is 121916929. The reversal of 121916928 is 829619121.

Its product of digits (15552) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121916923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4204018 + ... + 4204046.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^121916928 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 121916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

121916928 is an abundant number, since it is smaller than the sum of its proper divisors (302341632).

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

121916928 is a wasteful number, since it uses less digits than its factorization.

121916928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 121916928 is about 11041.5998840748. The cubic root of 121916928 is about 495.8549697375.

The spelling of 121916928 in words is "one hundred twenty-one million, nine hundred sixteen thousand, nine hundred twenty-eight".