121761605760 has 128 divisors (see below), whose sum is σ = 389115230400. Its totient is φ = 32386093056.

The previous prime is 121761605737. The next prime is 121761605809. The reversal of 121761605760 is 67506167121.

It is a tau number, because it is divible by the number of its divisors (128).

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, 665367 + ... + 828393.

Almost surely, 2^121761605760 is an apocalyptic number.

121761605760 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 121761605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194557615200).

121761605760 is an abundant number, since it is smaller than the sum of its proper divisors (267353624640).

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

121761605760 is a wasteful number, since it uses less digits than its factorization.

121761605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163438 (or 163426 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 121761605760 in words is "one hundred twenty-one billion, seven hundred sixty-one million, six hundred five thousand, seven hundred sixty".