12920047466688 has 336 divisors, whose sum is σ = 38531311669760. Its totient is φ = 4292500552704.

The previous prime is 12920047466681. The next prime is 12920047466699. The reversal of 12920047466688 is 88666474002921.

It is not an unprimeable number, because it can be changed into a prime (12920047466681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9736282281 + ... + 9736283607.

Almost surely, 2^{12920047466688} is an apocalyptic number.

12920047466688 is a gapful number since it is divisible by the number (18) 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 12920047466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265655834880).

12920047466688 is an abundant number, since it is smaller than the sum of its proper divisors (25611264203072).

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

12920047466688 is an equidigital number, since it uses as much as digits as its factorization.

12920047466688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 12920047466688 in words is "twelve trillion, nine hundred twenty billion, forty-seven million, four hundred sixty-six thousand, six hundred eighty-eight".