12934404000 has 576 divisors, whose sum is σ = 54433596672. Its totient is φ = 2954880000.

The previous prime is 12934403917. The next prime is 12934404011. The reversal of 12934404000 is 40443921.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6803050 + ... + 6804950.

It is an arithmetic number, because the mean of its divisors is an integer number (94502772).

Almost surely, 2^12934404000 is an apocalyptic number.

12934404000 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 12934404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216798336).

12934404000 is an abundant number, since it is smaller than the sum of its proper divisors (41499192672).

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

12934404000 is an equidigital number, since it uses as much as digits as its factorization.

12934404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12934404000 its reverse (40443921), we get a palindrome (12974847921).

The spelling of 12934404000 in words is "twelve billion, nine hundred thirty-four million, four hundred four thousand".