121116160 has 240 divisors, whose sum is σ = 352664928. Its totient is φ = 39649280.

The previous prime is 121116157. The next prime is 121116167. The reversal of 121116160 is 61611121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121116167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5265909 + ... + 5265931.

Almost surely, 2^121116160 is an apocalyptic number.

121116160 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 121116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176332464).

121116160 is an abundant number, since it is smaller than the sum of its proper divisors (231548768).

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

121116160 is a wasteful number, since it uses less digits than its factorization.

121116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 121116160 is about 11005.2787334079. The cubic root of 121116160 is about 494.7669685021.

Adding to 121116160 its reverse (61611121), we get a palindrome (182727281).

It can be divided in two parts, 1211 and 16160, that added together give a palindrome (17371).

The spelling of 121116160 in words is "one hundred twenty-one million, one hundred sixteen thousand, one hundred sixty".