121548768 has 192 divisors, whose sum is σ = 371589120. Its totient is φ = 34444800.

The previous prime is 121548761. The next prime is 121548781. The reversal of 121548768 is 867845121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121548761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1538553 + ... + 1538631.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 2^121548768 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 121548768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

121548768 is an abundant number, since it is smaller than the sum of its proper divisors (250040352).

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

121548768 is a wasteful number, since it uses less digits than its factorization.

121548768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 121548768 is about 11024.9157819913. The cubic root of 121548768 is about 495.3553452964.

The spelling of 121548768 in words is "one hundred twenty-one million, five hundred forty-eight thousand, seven hundred sixty-eight".