12442430000 has 600 divisors, whose sum is σ = 41113764384. Its totient is φ = 3548160000.

The previous prime is 12442429969. The next prime is 12442430017. The reversal of 12442430000 is 3424421.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110109944 + ... + 110110056.

Almost surely, 2^12442430000 is an apocalyptic number.

12442430000 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 12442430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556882192).

12442430000 is an abundant number, since it is smaller than the sum of its proper divisors (28671334384).

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

12442430000 is a wasteful number, since it uses less digits than its factorization.

12442430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12442430000 its reverse (3424421), we get a palindrome (12445854421).

The spelling of 12442430000 in words is "twelve billion, four hundred forty-two million, four hundred thirty thousand".