1197407136121 has 27 divisors (see below), whose sum is σ = 1401175206063. Its totient is φ = 1020288956400.

The previous prime is 1197407136089. The next prime is 1197407136137. The reversal of 1197407136121 is 1216317047911.

The square root of 1197407136121 is 1094261.

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., 1032684796521 + 164722339600 = 1016211^2 + 405860^2 .

It is not a de Polignac number, because 1197407136121 - 2⁵ = 1197407136089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1197407136151) 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, 1708141071 + ... + 1708141771.

Almost surely, 2^{1197407136121} is an apocalyptic number.

1197407136121 is the 1094261-st square number.

1197407136121 is the 547131-st centered octagonal number.

It is an amenable number.

1197407136121 is a deficient number, since it is larger than the sum of its proper divisors (203768069942).

1197407136121 is an frugal number, since it uses more digits than its factorization.

1197407136121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 43.

The spelling of 1197407136121 in words is "one trillion, one hundred ninety-seven billion, four hundred seven million, one hundred thirty-six thousand, one hundred twenty-one".