11126540121 has 16 divisors (see below), whose sum is σ = 15406980864. Its totient is φ = 7137046224.

The previous prime is 11126540081. The next prime is 11126540149. The reversal of 11126540121 is 12104562111.

11126540121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11126540121 - 2¹⁸ = 11126277977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11126540091 and 11126540100.

It is not an unprimeable number, because it can be changed into a prime (11126540021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635031 + ... + 652316.

It is an arithmetic number, because the mean of its divisors is an integer number (962936304).

Almost surely, 2^11126540121 is an apocalyptic number.

It is an amenable number.

11126540121 is a deficient number, since it is larger than the sum of its proper divisors (4280440743).

11126540121 is a wasteful number, since it uses less digits than its factorization.

11126540121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287460.

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 11126540121 in words is "eleven billion, one hundred twenty-six million, five hundred forty thousand, one hundred twenty-one".