12012112000 has 128 divisors (see below), whose sum is σ = 34131876480. Its totient is φ = 4118400000.

The previous prime is 12012111989. The next prime is 12012112027. The reversal of 12012112000 is 21121021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58375 + ... + 165625.

It is an arithmetic number, because the mean of its divisors is an integer number (266655285).

Almost surely, 2^12012112000 is an apocalyptic number.

12012112000 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 12012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065938240).

12012112000 is an abundant number, since it is smaller than the sum of its proper divisors (22119764480).

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

12012112000 is an equidigital number, since it uses as much as digits as its factorization.

12012112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107287 (or 107265 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12012112000 its reverse (21121021), we get a palindrome (12033233021).

The spelling of 12012112000 in words is "twelve billion, twelve million, one hundred twelve thousand".