12896509104000 has 192 divisors, whose sum is σ = 46314588836880. Its totient is φ = 3439069056000.

The previous prime is 12896509103993. The next prime is 12896509104019. The reversal of 12896509104000 is 40190569821.

12896509104000 is a `hidden beast` number, since 1 + 2 + 8 + 96 + 509 + 10 + 40 + 0 + 0 = 666.

12896509104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44635546 + ... + 44923545.

Almost surely, 2^{12896509104000} is an apocalyptic number.

12896509104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12896509104000 is an abundant number, since it is smaller than the sum of its proper divisors (33418079732880).

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

12896509104000 is an equidigital number, since it uses as much as digits as its factorization.

12896509104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89559126 (or 89559101 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12896509104000 in words is "twelve trillion, eight hundred ninety-six billion, five hundred nine million, one hundred four thousand".