12939706800 has 240 divisors, whose sum is σ = 48480528000. Its totient is φ = 3268926720.

The previous prime is 12939706799. The next prime is 12939706837. The reversal of 12939706800 is 860793921.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173671 + ... + 236729.

It is an arithmetic number, because the mean of its divisors is an integer number (202002200).

Almost surely, 2^12939706800 is an apocalyptic number.

12939706800 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 12939706800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24240264000).

12939706800 is an abundant number, since it is smaller than the sum of its proper divisors (35540821200).

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

12939706800 is a wasteful number, since it uses less digits than its factorization.

12939706800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63105 (or 63088 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 12939706800 in words is "twelve billion, nine hundred thirty-nine million, seven hundred six thousand, eight hundred".