12001012112000 has 128 divisors (see below), whose sum is σ = 29839727296080. Its totient is φ = 4800049152000.

The previous prime is 12001012111919. The next prime is 12001012112123. The reversal of 12001012112000 is 21121010021.

It can be written as a sum of positive squares in 8 ways, for example, as 1398277870144 + 10602734241856 = 1182488^2 + 3256184^2 .

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

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, 369279752 + ... + 369312248.

Almost surely, 2^{12001012112000} is an apocalyptic number.

12001012112000 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 12001012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919863648040).

12001012112000 is an abundant number, since it is smaller than the sum of its proper divisors (17838715184080).

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

12001012112000 is an equidigital number, since it uses as much as digits as its factorization.

12001012112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55607 (or 55585 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12001012112000 its reverse (21121010021), we get a palindrome (12022133122021).

The spelling of 12001012112000 in words is "twelve trillion, one billion, twelve million, one hundred twelve thousand".