12134172160 has 160 divisors (see below), whose sum is σ = 33410361600. Its totient is φ = 4180008960.

The previous prime is 12134172131. The next prime is 12134172203. The reversal of 12134172160 is 6127143121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523701 + ... + 546379.

It is an arithmetic number, because the mean of its divisors is an integer number (208814760).

Almost surely, 2^12134172160 is an apocalyptic number.

12134172160 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 12134172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16705180800).

12134172160 is an abundant number, since it is smaller than the sum of its proper divisors (21276189440).

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

12134172160 is a wasteful number, since it uses less digits than its factorization.

12134172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22732 (or 22716 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 12134172160 in words is "twelve billion, one hundred thirty-four million, one hundred seventy-two thousand, one hundred sixty".