1200508088329 has 9 divisors (see below), whose sum is σ = 1319579989581. Its totient is φ = 1091360032620.

The previous prime is 1200508088261. The next prime is 1200508088333. The reversal of 1200508088329 is 9238808050021.

The square root of 1200508088329 is 1095677.

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

It is not a de Polignac number, because 1200508088329 - 2⁷ = 1200508088201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200508088359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12002644 + ... + 12102250.

Almost surely, 2^{1200508088329} is an apocalyptic number.

1200508088329 is the 1095677-th square number.

1200508088329 is the 547839-th centered octagonal number.

It is an amenable number.

1200508088329 is a deficient number, since it is larger than the sum of its proper divisors (119071901252).

1200508088329 is an frugal number, since it uses more digits than its factorization.

1200508088329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199236 (or 99618 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 1200508088329 in words is "one trillion, two hundred billion, five hundred eight million, eighty-eight thousand, three hundred twenty-nine".