12001102010112 has 144 divisors (see below), whose sum is σ = 32765595040640. Its totient is φ = 3897489125376.

The previous prime is 12001102010077. The next prime is 12001102010141. The reversal of 12001102010112 is 21101020110021.

It is a super-3 number, since 3×12001102010112³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12652839 + ... + 13568217.

Almost surely, 2^{12001102010112} is an apocalyptic number.

12001102010112 is a gapful number since it is divisible by the number (12) 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 12001102010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382797520320).

12001102010112 is an abundant number, since it is smaller than the sum of its proper divisors (20764493030528).

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

12001102010112 is an equidigital number, since it uses as much as digits as its factorization.

12001102010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915838 (or 915824 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001102010112 its reverse (21101020110021), we get a palindrome (33102122120133).

The spelling of 12001102010112 in words is "twelve trillion, one billion, one hundred two million, ten thousand, one hundred twelve".