12134230400 has 96 divisors (see below), whose sum is σ = 30049877280. Its totient is φ = 4841625600.

The previous prime is 12134230343. The next prime is 12134230417. The reversal of 12134230400 is 403243121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1342697 + ... + 1351703.

It is an arithmetic number, because the mean of its divisors is an integer number (313019555).

Almost surely, 2^12134230400 is an apocalyptic number.

12134230400 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 12134230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024938640).

12134230400 is an abundant number, since it is smaller than the sum of its proper divisors (17915646880).

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

12134230400 is an equidigital number, since it uses as much as digits as its factorization.

12134230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9435 counting only the distinct ones).

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

Adding to 12134230400 its reverse (403243121), we get a palindrome (12537473521).

The spelling of 12134230400 in words is "twelve billion, one hundred thirty-four million, two hundred thirty thousand, four hundred".