121568688 has 100 divisors (see below), whose sum is σ = 370448760. Its totient is φ = 38382336.

The previous prime is 121568659. The next prime is 121568719. The reversal of 121568688 is 886865121.

121568688 is a `hidden beast` number, since 1 + 2 + 1 + 568 + 6 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22156 + ... + 27092.

Almost surely, 2^121568688 is an apocalyptic number.

121568688 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 121568688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185224380).

121568688 is an abundant number, since it is smaller than the sum of its proper divisors (248880072).

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

121568688 is a wasteful number, since it uses less digits than its factorization.

121568688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4961 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 121568688 is about 11025.8191532421. The cubic root of 121568688 is about 495.3824042283.

The spelling of 121568688 in words is "one hundred twenty-one million, five hundred sixty-eight thousand, six hundred eighty-eight".