12671158928820 has 288 divisors, whose sum is σ = 42684742066176. Its totient is φ = 2797467321600.

The previous prime is 12671158928663. The next prime is 12671158928927. The reversal of 12671158928820 is 2882985117621.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47533305 + ... + 47799135.

It is an arithmetic number, because the mean of its divisors is an integer number (148210909952).

Almost surely, 2^{12671158928820} is an apocalyptic number.

12671158928820 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 12671158928820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21342371033088).

12671158928820 is an abundant number, since it is smaller than the sum of its proper divisors (30013583137356).

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

12671158928820 is a wasteful number, since it uses less digits than its factorization.

12671158928820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266411 (or 266402 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 60.

The spelling of 12671158928820 in words is "twelve trillion, six hundred seventy-one billion, one hundred fifty-eight million, nine hundred twenty-eight thousand, eight hundred twenty".