1200157497289 has 27 divisors (see below), whose sum is σ = 1239484910727. Its totient is φ = 1162071848784.

The previous prime is 1200157497283. The next prime is 1200157497317. The reversal of 1200157497289 is 9827947510021.

The square root of 1200157497289 is 1095517.

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., 1175912516025 + 24244981264 = 1084395^2 + 155708^2 .

It is not a de Polignac number, because 1200157497289 - 2⁹ = 1200157496777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200157497283) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6092169939 + ... + 6092170135.

Almost surely, 2^{1200157497289} is an apocalyptic number.

1200157497289 is the 1095517-th square number.

1200157497289 is the 547759-th centered octagonal number.

It is an amenable number.

1200157497289 is a deficient number, since it is larger than the sum of its proper divisors (39327413438).

1200157497289 is an frugal number, since it uses more digits than its factorization.

1200157497289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 1200157497289 in words is "one trillion, two hundred billion, one hundred fifty-seven million, four hundred ninety-seven thousand, two hundred eighty-nine".