12940800000 has 312 divisors, whose sum is σ = 43255950192. Its totient is φ = 3440640000.

The previous prime is 12940799969. The next prime is 12940800013. The reversal of 12940800000 is 804921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 38399832 + ... + 38400168.

It is an arithmetic number, because the mean of its divisors is an integer number (138640866).

Almost surely, 2^12940800000 is an apocalyptic number.

12940800000 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 12940800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21627975096).

12940800000 is an abundant number, since it is smaller than the sum of its proper divisors (30315150192).

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

12940800000 is an frugal number, since it uses more digits than its factorization.

12940800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 12940800000 in words is "twelve billion, nine hundred forty million, eight hundred thousand".