12164160000 has 200 divisors, whose sum is σ = 40497836544. Its totient is φ = 3243520000.

The previous prime is 12164159981. The next prime is 12164160037. The reversal of 12164160000 is 6146121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 953665 + ... + 966335.

Almost surely, 2^12164160000 is an apocalyptic number.

12164160000 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 12164160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248918272).

12164160000 is an abundant number, since it is smaller than the sum of its proper divisors (28333676544).

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

12164160000 is an frugal number, since it uses more digits than its factorization.

12164160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12712 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 12164160000 in words is "twelve billion, one hundred sixty-four million, one hundred sixty thousand".