12900116791296 has 816 divisors, whose sum is σ = 45343435737600. Its totient is φ = 3449932480512.

The previous prime is 12900116791283. The next prime is 12900116791469. The reversal of 12900116791296 is 69219761100921.

It is a happy number.

12900116791296 is a `hidden beast` number, since 1 + 290 + 0 + 1 + 1 + 67 + 9 + 1 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16775184000 + ... + 16775184768.

Almost surely, 2^{12900116791296} is an apocalyptic number.

12900116791296 is a gapful number since it is divisible by the number (16) 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 12900116791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22671717868800).

12900116791296 is an abundant number, since it is smaller than the sum of its proper divisors (32443318946304).

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

12900116791296 is an equidigital number, since it uses as much as digits as its factorization.

12900116791296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 12900116791296 in words is "twelve trillion, nine hundred billion, one hundred sixteen million, seven hundred ninety-one thousand, two hundred ninety-six".