12996450988200 has 288 divisors, whose sum is σ = 45551274219360. Its totient is φ = 3443643590400.

The previous prime is 12996450988159. The next prime is 12996450988219. The reversal of 12996450988200 is 288905469921.

12996450988200 is a `hidden beast` number, since 1 + 2 + 9 + 96 + 450 + 98 + 8 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6778555 + ... + 8481845.

It is an arithmetic number, because the mean of its divisors is an integer number (158164146595).

Almost surely, 2^{12996450988200} is an apocalyptic number.

12996450988200 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 12996450988200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22775637109680).

12996450988200 is an abundant number, since it is smaller than the sum of its proper divisors (32554823231160).

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

12996450988200 is a wasteful number, since it uses less digits than its factorization.

12996450988200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703479 (or 1703458 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 12996450988200 in words is "twelve trillion, nine hundred ninety-six billion, four hundred fifty million, nine hundred eighty-eight thousand, two hundred".