12167001 has 48 divisors (see below), whose sum is σ = 22259328. Its totient is φ = 6220800.

The previous prime is 12166997. The next prime is 12167009. The reversal of 12167001 is 10076121.

It is a Cunningham number, because it is equal to 230³+1.

It is not a de Polignac number, because 12167001 - 2² = 12166997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12167009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67131 + ... + 67311.

It is an arithmetic number, because the mean of its divisors is an integer number (463736).

Almost surely, 2^12167001 is an apocalyptic number.

12167001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12167001 is a deficient number, since it is larger than the sum of its proper divisors (10092327).

12167001 is a wasteful number, since it uses less digits than its factorization.

12167001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 12167001 is about 3488.1228476073. The cubic root of 12167001 is about 230.0000063012. Note that the first 5 decimals are identical.

The spelling of 12167001 in words is "twelve million, one hundred sixty-seven thousand, one".