121200304828201 has 9 divisors (see below), whose sum is σ = 122413312111909. Its totient is φ = 119999200900000.

The previous prime is 121200304828153. The next prime is 121200304828217. The reversal of 121200304828201 is 102828403002121.

The square root of 121200304828201 is 11009101.

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 27414638338201 + 93785666490000 = 5235899^2 + 9684300^2 .

It is not a de Polignac number, because 121200304828201 - 2⁹ = 121200304827689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121200304838201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1111864701 + ... + 1111973701.

Almost surely, 2^{121200304828201} is an apocalyptic number.

121200304828201 is the 11009101-st square number.

121200304828201 is the 5504551-st centered octagonal number.

It is an amenable number.

121200304828201 is a deficient number, since it is larger than the sum of its proper divisors (1213007283708).

121200304828201 is an frugal number, since it uses more digits than its factorization.

121200304828201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218204 (or 109102 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 121200304828201 in words is "one hundred twenty-one trillion, two hundred billion, three hundred four million, eight hundred twenty-eight thousand, two hundred one".