12680829000 has 768 divisors, whose sum is σ = 52082933760. Its totient is φ = 2721600000.

The previous prime is 12680828891. The next prime is 12680829019. The reversal of 12680829000 is 92808621.

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 191 ways as a sum of consecutive naturals, for example, 83978925 + ... + 83979075.

It is an arithmetic number, because the mean of its divisors is an integer number (67816320).

Almost surely, 2^12680829000 is an apocalyptic number.

12680829000 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 12680829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26041466880).

12680829000 is an abundant number, since it is smaller than the sum of its proper divisors (39402104760).

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

12680829000 is a wasteful number, since it uses less digits than its factorization.

12680829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12680829000 in words is "twelve billion, six hundred eighty million, eight hundred twenty-nine thousand".