12180278880 has 576 divisors, whose sum is σ = 54109762560. Its totient is φ = 2530483200.

The previous prime is 12180278879. The next prime is 12180278911. The reversal of 12180278880 is 8887208121.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2325865 + ... + 2331095.

It is an arithmetic number, because the mean of its divisors is an integer number (93940560).

Almost surely, 2^12180278880 is an apocalyptic number.

12180278880 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 12180278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27054881280).

12180278880 is an abundant number, since it is smaller than the sum of its proper divisors (41929483680).

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

12180278880 is a wasteful number, since it uses less digits than its factorization.

12180278880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 12180278880 in words is "twelve billion, one hundred eighty million, two hundred seventy-eight thousand, eight hundred eighty".