121548168 has 128 divisors (see below), whose sum is σ = 406272000. Its totient is φ = 32892480.

The previous prime is 121548131. The next prime is 121548191. The reversal of 121548168 is 861845121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26613 + ... + 30843.

It is an arithmetic number, because the mean of its divisors is an integer number (3174000).

Almost surely, 2^121548168 is an apocalyptic number.

121548168 is a gapful number since it is divisible by the number (18) 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 121548168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203136000).

121548168 is an abundant number, since it is smaller than the sum of its proper divisors (284723832).

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

121548168 is a wasteful number, since it uses less digits than its factorization.

121548168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4262 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 121548168 is about 11024.8885708655. Note that the first 3 decimals coincide. The cubic root of 121548168 is about 495.3545302225.

The spelling of 121548168 in words is "one hundred twenty-one million, five hundred forty-eight thousand, one hundred sixty-eight".