12164205000 has 160 divisors (see below), whose sum is σ = 38102803200. Its totient is φ = 3235104000.

The previous prime is 12164204993. The next prime is 12164205019. The reversal of 12164205000 is 50246121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7184154 + ... + 7185846.

It is an arithmetic number, because the mean of its divisors is an integer number (238142520).

Almost surely, 2^12164205000 is an apocalyptic number.

12164205000 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 12164205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051401600).

12164205000 is an abundant number, since it is smaller than the sum of its proper divisors (25938598200).

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

12164205000 is a wasteful number, since it uses less digits than its factorization.

12164205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 12164205000 in words is "twelve billion, one hundred sixty-four million, two hundred five thousand".