12132403200 has 432 divisors, whose sum is σ = 44023002660. Its totient is φ = 3192913920.

The previous prime is 12132403189. The next prime is 12132403201. The reversal of 12132403200 is 230423121.

12132403200 is a `hidden beast` number, since 1 + 21 + 324 + 0 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 301925376 + 11830477824 = 17376^2 + 108768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132403201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52070284 + ... + 52070516.

Almost surely, 2^12132403200 is an apocalyptic number.

12132403200 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 12132403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22011501330).

12132403200 is an abundant number, since it is smaller than the sum of its proper divisors (31890599460).

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

12132403200 is a wasteful number, since it uses less digits than its factorization.

12132403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 356 counting only the distinct ones).

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

Adding to 12132403200 its reverse (230423121), we get a palindrome (12362826321).

The spelling of 12132403200 in words is "twelve billion, one hundred thirty-two million, four hundred three thousand, two hundred".