12671809920 has 384 divisors, whose sum is σ = 54556519680. Its totient is φ = 2633011200.

The previous prime is 12671809847. The next prime is 12671810027. The reversal of 12671809920 is 2990817621.

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

It is a super-2 number, since 2×12671809920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 429235 + ... + 457805.

It is an arithmetic number, because the mean of its divisors is an integer number (142074270).

Almost surely, 2^12671809920 is an apocalyptic number.

12671809920 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 12671809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27278259840).

12671809920 is an abundant number, since it is smaller than the sum of its proper divisors (41884709760).

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

12671809920 is a wasteful number, since it uses less digits than its factorization.

12671809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28614 (or 28599 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12671809920 in words is "twelve billion, six hundred seventy-one million, eight hundred nine thousand, nine hundred twenty".