12100540167 has 12 divisors (see below), whose sum is σ = 17533699560. Its totient is φ = 8041576848.

The previous prime is 12100540163. The next prime is 12100540183. The reversal of 12100540167 is 76104500121.

It is a happy number.

12100540167 is a `hidden beast` number, since 1 + 2 + 100 + 540 + 16 + 7 = 666.

It is not a de Polignac number, because 12100540167 - 2² = 12100540163 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12100540167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100540163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2117817 + ... + 2123522.

It is an arithmetic number, because the mean of its divisors is an integer number (1461141630).

Almost surely, 2^12100540167 is an apocalyptic number.

12100540167 is a deficient number, since it is larger than the sum of its proper divisors (5433159393).

12100540167 is a wasteful number, since it uses less digits than its factorization.

12100540167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241662 (or 4241659 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 12100540167 in words is "twelve billion, one hundred million, five hundred forty thousand, one hundred sixty-seven".