12014442000 has 240 divisors, whose sum is σ = 45777962880. Its totient is φ = 2912544000.

The previous prime is 12014441963. The next prime is 12014442017. The reversal of 12014442000 is 24441021.

12014442000 is a `hidden beast` number, since 1 + 20 + 1 + 444 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167661 + ... + 228339.

It is an arithmetic number, because the mean of its divisors is an integer number (190741512).

Almost surely, 2^12014442000 is an apocalyptic number.

12014442000 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 12014442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22888981440).

12014442000 is an abundant number, since it is smaller than the sum of its proper divisors (33763520880).

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

12014442000 is a wasteful number, since it uses less digits than its factorization.

12014442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60719 (or 60700 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12014442000 its reverse (24441021), we get a palindrome (12038883021).

The spelling of 12014442000 in words is "twelve billion, fourteen million, four hundred forty-two thousand".