12034400000 has 324 divisors, whose sum is σ = 35041179096. Its totient is φ = 4112640000.

The previous prime is 12034399973. The next prime is 12034400017. The reversal of 12034400000 is 443021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39199847 + ... + 39200153.

Almost surely, 2^12034400000 is an apocalyptic number.

12034400000 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 12034400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520589548).

12034400000 is an abundant number, since it is smaller than the sum of its proper divisors (23006779096).

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

12034400000 is an frugal number, since it uses more digits than its factorization.

12034400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12034400000 its reverse (443021), we get a palindrome (12034843021).

The spelling of 12034400000 in words is "twelve billion, thirty-four million, four hundred thousand".