12001101022112 has 192 divisors, whose sum is σ = 25007149440000. Its totient is φ = 5661601333248.

The previous prime is 12001101022063. The next prime is 12001101022129. The reversal of 12001101022112 is 21122010110021.

It is a super-2 number, since 2×12001101022112² (a number of 27 digits) contains 22 as substring.

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, 2581434764 + ... + 2581439412.

It is an arithmetic number, because the mean of its divisors is an integer number (130245570000).

Almost surely, 2^{12001101022112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001101022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503574720000).

12001101022112 is an abundant number, since it is smaller than the sum of its proper divisors (13006048417888).

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

12001101022112 is a wasteful number, since it uses less digits than its factorization.

12001101022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12001101022112 its reverse (21122010110021), we get a palindrome (33123111132133).

It can be divided in two parts, 1200110 and 1022112, that added together give a palindrome (2222222).

The spelling of 12001101022112 in words is "twelve trillion, one billion, one hundred one million, twenty-two thousand, one hundred twelve".