12042432000 has 800 divisors, whose sum is σ = 47271242304. Its totient is φ = 3041280000.

The previous prime is 12042431993. The next prime is 12042432007. The reversal of 12042432000 is 23424021.

It is an interprime number because it is at equal distance from previous prime (12042431993) and next prime (12042432007).

It is a tau number, because it is divible by the number of its divisors (800).

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 (12042432007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119231950 + ... + 119232050.

Almost surely, 2^12042432000 is an apocalyptic number.

12042432000 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 12042432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23635621152).

12042432000 is an abundant number, since it is smaller than the sum of its proper divisors (35228810304).

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

12042432000 is an equidigital number, since it uses as much as digits as its factorization.

12042432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12042432000 its reverse (23424021), we get a palindrome (12065856021).

The spelling of 12042432000 in words is "twelve billion, forty-two million, four hundred thirty-two thousand".