12111010011201 has 16 divisors (see below), whose sum is σ = 16858096833600. Its totient is φ = 7724073446208.

The previous prime is 12111010011173. The next prime is 12111010011211. The reversal of 12111010011201 is 10211001011121.

It is not a de Polignac number, because 12111010011201 - 2⁶ = 12111010011137 is a prime.

It is a super-2 number, since 2×12111010011201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12111010011211) 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, 638554791 + ... + 638573756.

It is an arithmetic number, because the mean of its divisors is an integer number (1053631052100).

Almost surely, 2^{12111010011201} is an apocalyptic number.

It is an amenable number.

12111010011201 is a deficient number, since it is larger than the sum of its proper divisors (4747086822399).

12111010011201 is a wasteful number, since it uses less digits than its factorization.

12111010011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277128688.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12111010011201 its reverse (10211001011121), we get a palindrome (22322011022322).

The spelling of 12111010011201 in words is "twelve trillion, one hundred eleven billion, ten million, eleven thousand, two hundred one".