12166103261 has 16 divisors (see below), whose sum is σ = 13880584368. Its totient is φ = 10563609600.

The previous prime is 12166103249. The next prime is 12166103293. The reversal of 12166103261 is 16230166121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1034587225 + 11131516036 = 32165^2 + 105506^2 .

It is not a de Polignac number, because 12166103261 - 2¹⁰ = 12166102237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12166105261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396491 + ... + 426071.

It is an arithmetic number, because the mean of its divisors is an integer number (867536523).

Almost surely, 2^12166103261 is an apocalyptic number.

It is an amenable number.

12166103261 is a deficient number, since it is larger than the sum of its proper divisors (1714481107).

12166103261 is a wasteful number, since it uses less digits than its factorization.

12166103261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31472.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 12166103261 its reverse (16230166121), we get a palindrome (28396269382).

The spelling of 12166103261 in words is "twelve billion, one hundred sixty-six million, one hundred three thousand, two hundred sixty-one".