121701668032064 has 224 divisors, whose sum is σ = 258063187200000. Its totient is φ = 56782379980800.

The previous prime is 121701668032039. The next prime is 121701668032073. The reversal of 121701668032064 is 460230866107121.

It is a super-3 number, since 3×121701668032064³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 26166772139 + ... + 26166776789.

It is an arithmetic number, because the mean of its divisors is an integer number (1152067800000).

Almost surely, 2^{121701668032064} 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 121701668032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129031593600000).

121701668032064 is an abundant number, since it is smaller than the sum of its proper divisors (136361519167936).

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

121701668032064 is a wasteful number, since it uses less digits than its factorization.

121701668032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 121701668032064 in words is "one hundred twenty-one trillion, seven hundred one billion, six hundred sixty-eight million, thirty-two thousand, sixty-four".