121159680 has 240 divisors, whose sum is σ = 424660320. Its totient is φ = 29360128.

The previous prime is 121159679. The next prime is 121159721. The reversal of 121159680 is 86951121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4177906 + ... + 4177934.

It is an arithmetic number, because the mean of its divisors is an integer number (1769418).

Almost surely, 2^121159680 is an apocalyptic number.

121159680 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 121159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212330160).

121159680 is an abundant number, since it is smaller than the sum of its proper divisors (303500640).

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

121159680 is an equidigital number, since it uses as much as digits as its factorization.

121159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 121159680 is about 11007.2557887968. The cubic root of 121159680 is about 494.8262220318.

The spelling of 121159680 in words is "one hundred twenty-one million, one hundred fifty-nine thousand, six hundred eighty".