121660742401 has 27 divisors (see below), whose sum is σ = 137598734217. Its totient is φ = 107485899840.

The previous prime is 121660742381. The next prime is 121660742447. The reversal of 121660742401 is 104247066121.

The square root of 121660742401 is 348799.

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

It can be written as a sum of positive squares in 4 ways, for example, as 82369574001 + 39291168400 = 287001^2 + 198220^2 .

It is not a de Polignac number, because 121660742401 - 2²³ = 121652353793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121660742101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141960765 + ... + 141961621.

Almost surely, 2^121660742401 is an apocalyptic number.

121660742401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121660742401 is the 348799-th square number.

121660742401 is the 174400-th centered octagonal number.

It is an amenable number.

121660742401 is a deficient number, since it is larger than the sum of its proper divisors (15937991816).

121660742401 is an frugal number, since it uses more digits than its factorization.

121660742401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 121660742401 in words is "one hundred twenty-one billion, six hundred sixty million, seven hundred forty-two thousand, four hundred one".