12682010880 has 1296 divisors, whose sum is σ = 59989797504. Its totient is φ = 2394685440.

The previous prime is 12682010801. The next prime is 12682010881. The reversal of 12682010880 is 8801028621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12682010881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 437310706 + ... + 437310734.

It is an arithmetic number, because the mean of its divisors is an integer number (46288424).

Almost surely, 2^12682010880 is an apocalyptic number.

12682010880 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 12682010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29994898752).

12682010880 is an abundant number, since it is smaller than the sum of its proper divisors (47307786624).

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

12682010880 is a wasteful number, since it uses less digits than its factorization.

12682010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 74 counting only the distinct ones).

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

The spelling of 12682010880 in words is "twelve billion, six hundred eighty-two million, ten thousand, eight hundred eighty".