121668708928 has 56 divisors (see below), whose sum is σ = 260323487480. Its totient is φ = 56086732800.

The previous prime is 121668708923. The next prime is 121668708961. The reversal of 121668708928 is 829807866121.

It is a happy number.

121668708928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41733586944 + 79935121984 = 204288^2 + 282728^2 .

It is not an unprimeable number, because it can be changed into a prime (121668708923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601528 + ... + 777928.

It is an arithmetic number, because the mean of its divisors is an integer number (4648633705).

Almost surely, 2^121668708928 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 121668708928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130161743740).

121668708928 is an abundant number, since it is smaller than the sum of its proper divisors (138654778552).

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

121668708928 is a wasteful number, since it uses less digits than its factorization.

121668708928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177255 (or 177245 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 121668708928 in words is "one hundred twenty-one billion, six hundred sixty-eight million, seven hundred eight thousand, nine hundred twenty-eight".