121816024 has 48 divisors (see below), whose sum is σ = 255296160. Its totient is φ = 54436800.

The previous prime is 121815989. The next prime is 121816039. The reversal of 121816024 is 420618121.

121816024 = 192² + 193² + ... + 719².

It is a self number, because there is not a number n which added to its sum of digits gives 121816024.

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 11 ways as a sum of consecutive naturals, for example, 58017 + ... + 60079.

It is an arithmetic number, because the mean of its divisors is an integer number (5318670).

Almost surely, 2^121816024 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 121816024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127648080).

121816024 is an abundant number, since it is smaller than the sum of its proper divisors (133480136).

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

121816024 is a wasteful number, since it uses less digits than its factorization.

121816024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 121816024 is about 11037.0296728785. The cubic root of 121816024 is about 495.7181345978.

The spelling of 121816024 in words is "one hundred twenty-one million, eight hundred sixteen thousand, twenty-four".