12805164120 has 256 divisors, whose sum is σ = 45567360000. Its totient is φ = 2876740608.

The previous prime is 12805164077. The next prime is 12805164121. The reversal of 12805164120 is 2146150821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805164121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2425804 + ... + 2431076.

It is an arithmetic number, because the mean of its divisors is an integer number (177997500).

Almost surely, 2^12805164120 is an apocalyptic number.

12805164120 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 12805164120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22783680000).

12805164120 is an abundant number, since it is smaller than the sum of its proper divisors (32762195880).

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

12805164120 is a wasteful number, since it uses less digits than its factorization.

12805164120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 12805164120 in words is "twelve billion, eight hundred five million, one hundred sixty-four thousand, one hundred twenty".