121181568 has 128 divisors (see below), whose sum is σ = 339292800. Its totient is φ = 38277120.

The previous prime is 121181561. The next prime is 121181581. The reversal of 121181568 is 865181121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121181561) 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 15 ways as a sum of consecutive naturals, for example, 676903 + ... + 677081.

It is an arithmetic number, because the mean of its divisors is an integer number (2650725).

Almost surely, 2^121181568 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 121181568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169646400).

121181568 is an abundant number, since it is smaller than the sum of its proper divisors (218111232).

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

121181568 is a wasteful number, since it uses less digits than its factorization.

121181568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its digits is 3840, while the sum is 33.

The square root of 121181568 is about 11008.2499971612. The cubic root of 121181568 is about 494.8560177092.

The spelling of 121181568 in words is "one hundred twenty-one million, one hundred eighty-one thousand, five hundred sixty-eight".