121852320 has 192 divisors, whose sum is σ = 418037760. Its totient is φ = 29721600.

The previous prime is 121852267. The next prime is 121852327. The reversal of 121852320 is 23258121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121852327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 282505 + ... + 282935.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^121852320 is an apocalyptic number.

121852320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

121852320 is an abundant number, since it is smaller than the sum of its proper divisors (296185440).

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

121852320 is a wasteful number, since it uses less digits than its factorization.

121852320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 121852320 is about 11038.6738333914. The cubic root of 121852320 is about 495.7673640234.

The spelling of 121852320 in words is "one hundred twenty-one million, eight hundred fifty-two thousand, three hundred twenty".