12700671984 has 960 divisors, whose sum is σ = 51944675328. Its totient is φ = 2786918400.

The previous prime is 12700671953. The next prime is 12700671989. The reversal of 12700671984 is 48917600721.

12700671984 = 186³ + 187³ + ... + 477³.

It is a happy number.

It is a super-2 number, since 2×12700671984² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12700671989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173981772 + ... + 173981844.

Almost surely, 2^12700671984 is an apocalyptic number.

12700671984 is a gapful number since it is divisible by the number (14) 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 12700671984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25972337664).

12700671984 is an abundant number, since it is smaller than the sum of its proper divisors (39244003344).

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

12700671984 is a wasteful number, since it uses less digits than its factorization.

12700671984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12700671984 in words is "twelve billion, seven hundred million, six hundred seventy-one thousand, nine hundred eighty-four".