12684276000 has 480 divisors, whose sum is σ = 50802111360. Its totient is φ = 3074112000.

The previous prime is 12684275971. The next prime is 12684276029. The reversal of 12684276000 is 67248621.

12684276000 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 42 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12684275971) and next prime (12684276029).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3562221 + ... + 3565779.

It is an arithmetic number, because the mean of its divisors is an integer number (105837732).

Almost surely, 2^12684276000 is an apocalyptic number.

12684276000 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 12684276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401055680).

12684276000 is an abundant number, since it is smaller than the sum of its proper divisors (38117835360).

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

12684276000 is a wasteful number, since it uses less digits than its factorization.

12684276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12684276000 in words is "twelve billion, six hundred eighty-four million, two hundred seventy-six thousand".