1200394140625 has 27 divisors (see below), whose sum is σ = 1501348352403. Its totient is φ = 959767500000.

The previous prime is 1200394140611. The next prime is 1200394140667. The reversal of 1200394140625 is 5260414930021.

It is a happy number.

The square root of 1200394140625 is 1095625.

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

It can be written as a sum of positive squares in 13 ways, for example, as 180746570449 + 1019647570176 = 425143^2 + 1009776^2 .

It is not a de Polignac number, because 1200394140625 - 2¹³ = 1200394132433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 684764749 + ... + 684766501.

Almost surely, 2^{1200394140625} is an apocalyptic number.

1200394140625 is the 1095625-th square number.

1200394140625 is the 547813-rd centered octagonal number.

It is an amenable number.

1200394140625 is a deficient number, since it is larger than the sum of its proper divisors (300954211778).

1200394140625 is an frugal number, since it uses more digits than its factorization.

1200394140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 1200394140625 in words is "one trillion, two hundred billion, three hundred ninety-four million, one hundred forty thousand, six hundred twenty-five".