12034031400 has 576 divisors, whose sum is σ = 45125683200. Its totient is φ = 2860032000.

The previous prime is 12034031377. The next prime is 12034031407. The reversal of 12034031400 is 413043021.

12034031400 is a `hidden beast` number, since 12 + 0 + 340 + 314 + 0 + 0 = 666.

12034031400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12034031407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63005305 + ... + 63005495.

It is an arithmetic number, because the mean of its divisors is an integer number (78343200).

Almost surely, 2^12034031400 is an apocalyptic number.

12034031400 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 12034031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22562841600).

12034031400 is an abundant number, since it is smaller than the sum of its proper divisors (33091651800).

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

12034031400 is a wasteful number, since it uses less digits than its factorization.

12034031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12034031400 its reverse (413043021), we get a palindrome (12447074421).

The spelling of 12034031400 in words is "twelve billion, thirty-four million, thirty-one thousand, four hundred".