12787218462720 has 384 divisors, whose sum is σ = 45575176046400. Its totient is φ = 3039081529344.

The previous prime is 12787218462671. The next prime is 12787218462731. The reversal of 12787218462720 is 2726481278721.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11029384 + ... + 12133496.

Almost surely, 2^{12787218462720} is an apocalyptic number.

12787218462720 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 12787218462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787588023200).

12787218462720 is an abundant number, since it is smaller than the sum of its proper divisors (32787957583680).

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

12787218462720 is a wasteful number, since it uses less digits than its factorization.

12787218462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104185 (or 1104165 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The spelling of 12787218462720 in words is "twelve trillion, seven hundred eighty-seven billion, two hundred eighteen million, four hundred sixty-two thousand, seven hundred twenty".