1206256300209 has 15 divisors (see below), whose sum is σ = 1801953189883. Its totient is φ = 804164277024.

The previous prime is 1206256300187. The next prime is 1206256300213. The reversal of 1206256300209 is 9020036526021.

The square root of 1206256300209 is 1098297.

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

1206256300209 is a `hidden beast` number, since 1 + 2 + 0 + 625 + 6 + 3 + 0 + 0 + 20 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 894811943025 + 311444357184 = 945945^2 + 558072^2 .

It is not a de Polignac number, because 1206256300209 - 2⁵ = 1206256300177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1206256300229) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9823657 + ... + 9945689.

Almost surely, 2^{1206256300209} is an apocalyptic number.

1206256300209 is the 1098297-th square number.

1206256300209 is the 549149-th centered octagonal number.

It is an amenable number.

1206256300209 is a deficient number, since it is larger than the sum of its proper divisors (595696889674).

1206256300209 is an frugal number, since it uses more digits than its factorization.

1206256300209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244078 (or 122036 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 1206256300209 by its sum of digits (36), we get a square (43425226807524 = 6589782²).

The spelling of 1206256300209 in words is "one trillion, two hundred six billion, two hundred fifty-six million, three hundred thousand, two hundred nine".