12001101001100 has 144 divisors (see below), whose sum is σ = 26676892569600. Its totient is φ = 4685055448320.

The previous prime is 12001101001079. The next prime is 12001101001103. The reversal of 12001101001100 is 110010110021.

It is a happy number.

12001101001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×12001101001100⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12001101001103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453217661 + ... + 453244139.

It is an arithmetic number, because the mean of its divisors is an integer number (185256198400).

Almost surely, 2^{12001101001100} is an apocalyptic number.

12001101001100 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 12001101001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338446284800).

12001101001100 is an abundant number, since it is smaller than the sum of its proper divisors (14675791568500).

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

12001101001100 is a wasteful number, since it uses less digits than its factorization.

12001101001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27232 (or 27225 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12001101001100 its reverse (110010110021), we get a palindrome (12111111111121).

The spelling of 12001101001100 in words is "twelve trillion, one billion, one hundred one million, one thousand, one hundred".