12134400000 has 360 divisors, whose sum is σ = 40956128640. Its totient is φ = 3194880000.

The previous prime is 12134399993. The next prime is 12134400011. The reversal of 12134400000 is 443121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153599961 + ... + 153600039.

It is an arithmetic number, because the mean of its divisors is an integer number (113767024).

Almost surely, 2^12134400000 is an apocalyptic number.

12134400000 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 12134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20478064320).

12134400000 is an abundant number, since it is smaller than the sum of its proper divisors (28821728640).

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

12134400000 is an frugal number, since it uses more digits than its factorization.

12134400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12134400000 its reverse (443121), we get a palindrome (12134843121).

The spelling of 12134400000 in words is "twelve billion, one hundred thirty-four million, four hundred thousand".