1200784214809 has 27 divisors (see below), whose sum is σ = 1294752827133. Its totient is φ = 1113405979392.

The previous prime is 1200784214803. The next prime is 1200784214831. The reversal of 1200784214809 is 9084124870021.

The square root of 1200784214809 is 1095803.

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 151634696409 + 1049149518400 = 389403^2 + 1024280^2 .

It is not a de Polignac number, because 1200784214809 - 2⁷ = 1200784214681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200784214803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1359891082 + ... + 1359891964.

Almost surely, 2^{1200784214809} is an apocalyptic number.

1200784214809 is the 1095803-rd square number.

1200784214809 is the 547902-nd centered octagonal number.

It is an amenable number.

1200784214809 is a deficient number, since it is larger than the sum of its proper divisors (93968612324).

1200784214809 is an frugal number, since it uses more digits than its factorization.

1200784214809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 1200784214809 in words is "one trillion, two hundred billion, seven hundred eighty-four million, two hundred fourteen thousand, eight hundred nine".