12991948819200 has 2592 divisors, whose sum is σ = 54145014497280. Its totient is φ = 3043314892800.

The previous prime is 12991948819163. The next prime is 12991948819237. The reversal of 12991948819200 is 291884919921.

12991948819200 is a `hidden beast` number, since 129 + 9 + 1 + 9 + 488 + 1 + 9 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12991948819163) and next prime (12991948819237).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 102298809537 + ... + 102298809663.

Almost surely, 2^{12991948819200} is an apocalyptic number.

12991948819200 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 12991948819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27072507248640).

12991948819200 is an abundant number, since it is smaller than the sum of its proper divisors (41153065678080).

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

12991948819200 is a wasteful number, since it uses less digits than its factorization.

12991948819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 12991948819200 in words is "twelve trillion, nine hundred ninety-one billion, nine hundred forty-eight million, eight hundred nineteen thousand, two hundred".