12000240000 has 480 divisors, whose sum is σ = 49336269840. Its totient is φ = 2741760000.

The previous prime is 12000239989. The next prime is 12000240017. The reversal of 12000240000 is 4200021.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5038810 + ... + 5041190.

Almost surely, 2^12000240000 is an apocalyptic number.

12000240000 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 12000240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24668134920).

12000240000 is an abundant number, since it is smaller than the sum of its proper divisors (37336029840).

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

12000240000 is an equidigital number, since it uses as much as digits as its factorization.

12000240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 12000240000 its reverse (4200021), we get a palindrome (12004440021).

The spelling of 12000240000 in words is "twelve billion, two hundred forty thousand".