12134032400 has 240 divisors, whose sum is σ = 35201937408. Its totient is φ = 3931200000.

The previous prime is 12134032399. The next prime is 12134032403. The reversal of 12134032400 is 423043121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12134032403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3730775 + ... + 3734025.

Almost surely, 2^12134032400 is an apocalyptic number.

12134032400 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 12134032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17600968704).

12134032400 is an abundant number, since it is smaller than the sum of its proper divisors (23067905008).

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

12134032400 is a wasteful number, since it uses less digits than its factorization.

12134032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12134032400 its reverse (423043121), we get a palindrome (12557075521).

The spelling of 12134032400 in words is "twelve billion, one hundred thirty-four million, thirty-two thousand, four hundred".