121670805141601 has 9 divisors (see below), whose sum is σ = 121902099494553. Its totient is φ = 121439948874480.

The previous prime is 121670805141559. The next prime is 121670805141629. The reversal of 121670805141601 is 106141508076121.

The square root of 121670805141601 is 11030449.

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 25100089980001 + 96570715161600 = 5009999^2 + 9827040^2 .

It is not a de Polignac number, because 121670805141601 - 2¹¹ = 121670805139553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121670806141601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5967462715 + ... + 5967483103.

It is an arithmetic number, because the mean of its divisors is an integer number (13544677721617).

Almost surely, 2^{121670805141601} is an apocalyptic number.

121670805141601 is the 11030449-th square number.

121670805141601 is the 5515225-th centered octagonal number.

It is an amenable number.

121670805141601 is a deficient number, since it is larger than the sum of its proper divisors (231294352952).

121670805141601 is an frugal number, since it uses more digits than its factorization.

121670805141601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41860 (or 20930 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 121670805141601 in words is "one hundred twenty-one trillion, six hundred seventy billion, eight hundred five million, one hundred forty-one thousand, six hundred one".