12994090099200 has 720 divisors, whose sum is σ = 53786025349056. Its totient is φ = 2934278553600.

The previous prime is 12994090099171. The next prime is 12994090099201. The reversal of 12994090099200 is 299009049921.

12994090099200 is a `hidden beast` number, since 1 + 29 + 9 + 409 + 0 + 0 + 9 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12994090099200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12994090099201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66834130 + ... + 67028270.

Almost surely, 2^{12994090099200} is an apocalyptic number.

12994090099200 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 12994090099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26893012674528).

12994090099200 is an abundant number, since it is smaller than the sum of its proper divisors (40791935249856).

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

12994090099200 is a wasteful number, since it uses less digits than its factorization.

12994090099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194265 (or 194241 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 12994090099200 in words is "twelve trillion, nine hundred ninety-four billion, ninety million, ninety-nine thousand, two hundred".