11837115941121 has 135 divisors (see below), whose sum is σ = 19047357644601. Its totient is φ = 7324490105856.

The previous prime is 11837115941099. The next prime is 11837115941129. The reversal of 11837115941121 is 12114951173811.

The square root of 11837115941121 is 3440511.

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

11837115941121 is a `hidden beast` number, since 1 + 1 + 8 + 37 + 1 + 1 + 594 + 1 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1444229501121 + 10392886440000 = 1201761^2 + 3223800^2 .

It is not a de Polignac number, because 11837115941121 - 2⁵ = 11837115941089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11837115941129) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 59482994580 + ... + 59482994778.

Almost surely, 2^{11837115941121} is an apocalyptic number.

11837115941121 is the 3440511-st square number.

11837115941121 is the 1720256-th centered octagonal number.

It is an amenable number.

11837115941121 is a deficient number, since it is larger than the sum of its proper divisors (7210241703480).

11837115941121 is an frugal number, since it uses more digits than its factorization.

11837115941121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 332 counting only the distinct ones).

The product of its digits is 60480, while the sum is 45.

The spelling of 11837115941121 in words is "eleven trillion, eight hundred thirty-seven billion, one hundred fifteen million, nine hundred forty-one thousand, one hundred twenty-one".