12010001102112 has 192 divisors, whose sum is σ = 34357337965440. Its totient is φ = 3651255066624.

The previous prime is 12010001102111. The next prime is 12010001102117. The reversal of 12010001102112 is 21120110001021.

12010001102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12010001102111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158461858 + ... + 158537630.

It is an arithmetic number, because the mean of its divisors is an integer number (178944468570).

Almost surely, 2^{12010001102112} is an apocalyptic number.

12010001102112 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 12010001102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17178668982720).

12010001102112 is an abundant number, since it is smaller than the sum of its proper divisors (22347336863328).

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

12010001102112 is a wasteful number, since it uses less digits than its factorization.

12010001102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77315 (or 77307 counting only the distinct ones).

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

Adding to 12010001102112 its reverse (21120110001021), we get a palindrome (33130111103133).

The spelling of 12010001102112 in words is "twelve trillion, ten billion, one million, one hundred two thousand, one hundred twelve".