12081682080 has 576 divisors, whose sum is σ = 46495088640. Its totient is φ = 2836684800.

The previous prime is 12081682079. The next prime is 12081682091. The reversal of 12081682080 is 8028618021.

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 95 ways as a sum of consecutive naturals, for example, 63254785 + ... + 63254975.

It is an arithmetic number, because the mean of its divisors is an integer number (80720640).

Almost surely, 2^12081682080 is an apocalyptic number.

12081682080 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 12081682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23247544320).

12081682080 is an abundant number, since it is smaller than the sum of its proper divisors (34413406560).

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

12081682080 is a wasteful number, since it uses less digits than its factorization.

12081682080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 12081682080 in words is "twelve billion, eighty-one million, six hundred eighty-two thousand, eighty".