12305355394201 has 9 divisors (see below), whose sum is σ = 13071842262399. Its totient is φ = 11581454832864.

The previous prime is 12305355394181. The next prime is 12305355394253. The reversal of 12305355394201 is 10249355350321.

The square root of 12305355394201 is 3507899.

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., 9580293992025 + 2725061402176 = 3095205^2 + 1650776^2 .

It is not a de Polignac number, because 12305355394201 - 2²¹ = 12305353297049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12305355394261) 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, 59531110 + ... + 59737456.

Almost surely, 2^{12305355394201} is an apocalyptic number.

12305355394201 is the 3507899-th square number.

12305355394201 is the 1753950-th centered octagonal number.

It is an amenable number.

12305355394201 is a deficient number, since it is larger than the sum of its proper divisors (766486868198).

12305355394201 is an frugal number, since it uses more digits than its factorization.

12305355394201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412728 (or 206364 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 43.

The spelling of 12305355394201 in words is "twelve trillion, three hundred five billion, three hundred fifty-five million, three hundred ninety-four thousand, two hundred one".