12167000000 has 196 divisors, whose sum is σ = 31551158640. Its totient is φ = 4655200000.

The previous prime is 12166999991. The next prime is 12167000029. The reversal of 12167000000 is 76121.

It is a happy number.

The cubic root of 12167000000 is 2300.

It is a perfect power (a cube), and thus also a powerful number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 528999989 + ... + 529000011.

Almost surely, 2^12167000000 is an apocalyptic number.

12167000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12167000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775579320).

12167000000 is an abundant number, since it is smaller than the sum of its proper divisors (19384158640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12167000000 is an frugal number, since it uses more digits than its factorization.

12167000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 12167000000 its reverse (76121), we get a palindrome (12167076121).

The spelling of 12167000000 in words is "twelve billion, one hundred sixty-seven million", and thus it is an aban number.