12026112000 has 384 divisors, whose sum is σ = 45749733120. Its totient is φ = 2747596800.

The previous prime is 12026111971. The next prime is 12026112019. The reversal of 12026112000 is 21162021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5374882 + ... + 5377118.

It is an arithmetic number, because the mean of its divisors is an integer number (119139930).

Almost surely, 2^12026112000 is an apocalyptic number.

12026112000 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 12026112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22874866560).

12026112000 is an abundant number, since it is smaller than the sum of its proper divisors (33723621120).

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

12026112000 is an equidigital number, since it uses as much as digits as its factorization.

12026112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12026112000 its reverse (21162021), we get a palindrome (12047274021).

The spelling of 12026112000 in words is "twelve billion, twenty-six million, one hundred twelve thousand".