12684672000 has 1584 divisors, whose sum is σ = 61838003136. Its totient is φ = 2433024000.

The previous prime is 12684671981. The next prime is 12684672031. The reversal of 12684672000 is 27648621.

It is a tau number, because it is divible by the number of its divisors (1584).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 975743994 + ... + 975744006.

Almost surely, 2^12684672000 is an apocalyptic number.

12684672000 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 12684672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30919001568).

12684672000 is an abundant number, since it is smaller than the sum of its proper divisors (49153331136).

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

12684672000 is a wasteful number, since it uses less digits than its factorization.

12684672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

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

The spelling of 12684672000 in words is "twelve billion, six hundred eighty-four million, six hundred seventy-two thousand".