12004114400 has 72 divisors (see below), whose sum is σ = 29589762384. Its totient is φ = 4754995200.

The previous prime is 12004114361. The next prime is 12004114411. The reversal of 12004114400 is 441140021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9560 + ... + 155240.

It is an arithmetic number, because the mean of its divisors is an integer number (410968922).

Almost surely, 2^12004114400 is an apocalyptic number.

12004114400 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 12004114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794881192).

12004114400 is an abundant number, since it is smaller than the sum of its proper divisors (17585647984).

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

12004114400 is a wasteful number, since it uses less digits than its factorization.

12004114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145804 (or 145791 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12004114400 its reverse (441140021), we get a palindrome (12445254421).

The spelling of 12004114400 in words is "twelve billion, four million, one hundred fourteen thousand, four hundred".