12180141288 has 256 divisors, whose sum is σ = 40824000000. Its totient is φ = 3359446272.

The previous prime is 12180141271. The next prime is 12180141313. The reversal of 12180141288 is 88214108121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2145718 + ... + 2151386.

It is an arithmetic number, because the mean of its divisors is an integer number (159468750).

Almost surely, 2^12180141288 is an apocalyptic number.

12180141288 is a gapful number since it is divisible by the number (18) 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 12180141288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412000000).

12180141288 is an abundant number, since it is smaller than the sum of its proper divisors (28643858712).

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

12180141288 is a wasteful number, since it uses less digits than its factorization.

12180141288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 12180141288 in words is "twelve billion, one hundred eighty million, one hundred forty-one thousand, two hundred eighty-eight".