121615824 has 120 divisors (see below), whose sum is σ = 364539168. Its totient is φ = 34641920.

The previous prime is 121615771. The next prime is 121615831. The reversal of 121615824 is 428516121.

It is a junction number, because it is equal to n+sod(n) for n = 121615791 and 121615800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152194 + ... + 152990.

Almost surely, 2^121615824 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 121615824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182269584).

121615824 is an abundant number, since it is smaller than the sum of its proper divisors (242923344).

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

121615824 is a wasteful number, since it uses less digits than its factorization.

121615824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 830 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 121615824 is about 11027.9564743428. The cubic root of 121615824 is about 495.4464210628.

The spelling of 121615824 in words is "one hundred twenty-one million, six hundred fifteen thousand, eight hundred twenty-four".