121171167 has 32 divisors (see below), whose sum is σ = 196011200. Its totient is φ = 73529856.

The previous prime is 121171163. The next prime is 121171207. The reversal of 121171167 is 761171121.

It is not a de Polignac number, because 121171167 - 2² = 121171163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 121171167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121171163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23259 + ... + 27987.

It is an arithmetic number, because the mean of its divisors is an integer number (6125350).

Almost surely, 2^121171167 is an apocalyptic number.

121171167 is a deficient number, since it is larger than the sum of its proper divisors (74840033).

121171167 is a wasteful number, since it uses less digits than its factorization.

121171167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4818 counting only the distinct ones).

The product of its digits is 588, while the sum is 27.

The square root of 121171167 is about 11007.7775686103. Note that the first 3 decimals coincide. The cubic root of 121171167 is about 494.8418594925.

The spelling of 121171167 in words is "one hundred twenty-one million, one hundred seventy-one thousand, one hundred sixty-seven".