12133540011 has 16 divisors (see below), whose sum is σ = 17031866240. Its totient is φ = 7662237120.

The previous prime is 12133540009. The next prime is 12133540031. The reversal of 12133540011 is 11004533121.

12133540011 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 12133540011 - 2¹ = 12133540009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12133540011.

It is not an unprimeable number, because it can be changed into a prime (12133540031) 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, 791031 + ... + 806223.

It is an arithmetic number, because the mean of its divisors is an integer number (1064491640).

Almost surely, 2^12133540011 is an apocalyptic number.

12133540011 is a deficient number, since it is larger than the sum of its proper divisors (4898326229).

12133540011 is a wasteful number, since it uses less digits than its factorization.

12133540011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29226.

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 12133540011 in words is "twelve billion, one hundred thirty-three million, five hundred forty thousand, eleven".