121041429545689 has 9 divisors (see below), whose sum is σ = 122003424595647. Its totient is φ = 120086961186024.

The previous prime is 121041429545681. The next prime is 121041429545717. The reversal of 121041429545689 is 986545924140121.

The square root of 121041429545689 is 11001883.

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

It can be written as a sum of positive squares in only one way, i.e., 62860842681289 + 58180586864400 = 7928483^2 + 7627620^2 .

It is not a de Polignac number, because 121041429545689 - 2³ = 121041429545681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121041429545681) 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, 1397195827 + ... + 1397282455.

It is an arithmetic number, because the mean of its divisors is an integer number (13555936066183).

Almost surely, 2^{121041429545689} is an apocalyptic number.

121041429545689 is the 11001883-rd square number.

121041429545689 is the 5500942-nd centered octagonal number.

It is an amenable number.

121041429545689 is a deficient number, since it is larger than the sum of its proper divisors (961995049958).

121041429545689 is an frugal number, since it uses more digits than its factorization.

121041429545689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173512 (or 86756 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 61.

The spelling of 121041429545689 in words is "one hundred twenty-one trillion, forty-one billion, four hundred twenty-nine million, five hundred forty-five thousand, six hundred eighty-nine".