12072000000 has 280 divisors, whose sum is σ = 40280109408. Its totient is φ = 3212800000.

The previous prime is 12071999983. The next prime is 12072000007. The reversal of 12072000000 is 27021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12072000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12072000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23999749 + ... + 24000251.

Almost surely, 2^12072000000 is an apocalyptic number.

12072000000 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 12072000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20140054704).

12072000000 is an abundant number, since it is smaller than the sum of its proper divisors (28208109408).

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

12072000000 is an frugal number, since it uses more digits than its factorization.

12072000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

Adding to 12072000000 its reverse (27021), we get a palindrome (12072027021).

The spelling of 12072000000 in words is "twelve billion, seventy-two million", and thus it is an aban number and an uban number.