12509420802816 has 216 divisors, whose sum is σ = 39775750094080. Its totient is φ = 3418722920448.

The previous prime is 12509420802799. The next prime is 12509420802829. The reversal of 12509420802816 is 61820802490521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644565 + ... + 5043243.

Almost surely, 2^{12509420802816} is an apocalyptic number.

12509420802816 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 12509420802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19887875047040).

12509420802816 is an abundant number, since it is smaller than the sum of its proper divisors (27266329291264).

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

12509420802816 is an equidigital number, since it uses as much as digits as its factorization.

12509420802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398751 (or 4398714 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 12509420802816 in words is "twelve trillion, five hundred nine billion, four hundred twenty million, eight hundred two thousand, eight hundred sixteen".