11728124029611 has 48 divisors (see below), whose sum is σ = 19512120151680. Its totient is φ = 6713506800000.

The previous prime is 11728124029603. The next prime is 11728124029663. The reversal of 11728124029611 is 11692042182711.

It is a happy number.

11728124029611 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 8 + 1 + 2 + 4 + 0 + 29 + 611 = 666.

It is not a de Polignac number, because 11728124029611 - 2³ = 11728124029603 is a prime.

It is a super-2 number, since 2×11728124029611² (a number of 27 digits) contains 22 as substring.

It is the 45-th Jacobsthal number.

It is a plaindrome in base 4 and base 16.

It is not an unprimeable number, because it can be changed into a prime (11728124028611) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8795890 + ... + 10041111.

It is an arithmetic number, because the mean of its divisors is an integer number (406502503160).

Almost surely, 2^{11728124029611} is an apocalyptic number.

11728124029611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11728124029611 is a deficient number, since it is larger than the sum of its proper divisors (7783996122069).

11728124029611 is a wasteful number, since it uses less digits than its factorization.

11728124029611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837368 (or 18837365 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11728124029611 in words is "eleven trillion, seven hundred twenty-eight billion, one hundred twenty-four million, twenty-nine thousand, six hundred eleven".