121685760 has 288 divisors, whose sum is σ = 494484480. Its totient is φ = 27758592.

The previous prime is 121685741. The next prime is 121685777. The reversal of 121685760 is 67586121.

121685760 is a `hidden beast` number, since 1 + 21 + 68 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 241669 + ... + 242171.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^121685760 is an apocalyptic number.

121685760 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 121685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

121685760 is an abundant number, since it is smaller than the sum of its proper divisors (372798720).

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

121685760 is an equidigital number, since it uses as much as digits as its factorization.

121685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 121685760 is about 11031.1268690012. The cubic root of 121685760 is about 495.5413727998.

The spelling of 121685760 in words is "one hundred twenty-one million, six hundred eighty-five thousand, seven hundred sixty".