121793168 has 80 divisors (see below), whose sum is σ = 291838464. Its totient is φ = 48046080.

The previous prime is 121793143. The next prime is 121793171. The reversal of 121793168 is 861397121.

It is an unprimeable number.

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, 88808 + ... + 90168.

Almost surely, 2^121793168 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 121793168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145919232).

121793168 is an abundant number, since it is smaller than the sum of its proper divisors (170045296).

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

121793168 is a wasteful number, since it uses less digits than its factorization.

121793168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1434 counting only the distinct ones).

The product of its digits is 18144, while the sum is 38.

The square root of 121793168 is about 11035.9942007959. The cubic root of 121793168 is about 495.6871292560.

The spelling of 121793168 in words is "one hundred twenty-one million, seven hundred ninety-three thousand, one hundred sixty-eight".