12123432000 has 560 divisors, whose sum is σ = 45825869232. Its totient is φ = 3162931200.

The previous prime is 12123431963. The next prime is 12123432019. The reversal of 12123432000 is 23432121.

12123432000 is a `hidden beast` number, since 121 + 2 + 343 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3186376704 + 8937055296 = 56448^2 + 94536^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34343824 + ... + 34344176.

Almost surely, 2^12123432000 is an apocalyptic number.

12123432000 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 12123432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22912934616).

12123432000 is an abundant number, since it is smaller than the sum of its proper divisors (33702437232).

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

12123432000 is an equidigital number, since it uses as much as digits as its factorization.

12123432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 416 counting only the distinct ones).

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

Adding to 12123432000 its reverse (23432121), we get a palindrome (12146864121).

The spelling of 12123432000 in words is "twelve billion, one hundred twenty-three million, four hundred thirty-two thousand".