12669984000 has 864 divisors, whose sum is σ = 49618427040. Its totient is φ = 3096576000.

The previous prime is 12669983983. The next prime is 12669984007. The reversal of 12669984000 is 48996621.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 9429186816 + 3240797184 = 97104^2 + 56928^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12669984007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309023980 + ... + 309024020.

It is an arithmetic number, because the mean of its divisors is an integer number (57428735).

Almost surely, 2^12669984000 is an apocalyptic number.

12669984000 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 12669984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24809213520).

12669984000 is an abundant number, since it is smaller than the sum of its proper divisors (36948443040).

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

12669984000 is a wasteful number, since it uses less digits than its factorization.

12669984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12669984000 in words is "twelve billion, six hundred sixty-nine million, nine hundred eighty-four thousand".