121360960161 has 81 divisors (see below), whose sum is σ = 208505713689. Its totient is φ = 67823263872.

The previous prime is 121360960159. The next prime is 121360960181. The reversal of 121360960161 is 161069063121.

The square root of 121360960161 is 348369.

It is a perfect power (a square), and thus also a powerful number.

121360960161 is a `hidden beast` number, since 12 + 1 + 36 + 0 + 9 + 601 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25545948561 + 95815011600 = 159831^2 + 309540^2 .

It is not a de Polignac number, because 121360960161 - 2¹ = 121360960159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121360960121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 387734541 + ... + 387734853.

Almost surely, 2^121360960161 is an apocalyptic number.

121360960161 is the 348369-th square number.

121360960161 is the 174185-th centered octagonal number.

It is an amenable number.

121360960161 is a deficient number, since it is larger than the sum of its proper divisors (87144753528).

121360960161 is an frugal number, since it uses more digits than its factorization.

121360960161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 121360960161 by its sum of digits (36), we get a square (4368994565796 = 2090214²).

The spelling of 121360960161 in words is "one hundred twenty-one billion, three hundred sixty million, nine hundred sixty thousand, one hundred sixty-one".