12011001221100 has 648 divisors, whose sum is σ = 42306637670640. Its totient is φ = 2620183695360.

The previous prime is 12011001221041. The next prime is 12011001221111. The reversal of 12011001221100 is 112210011021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3376720522 + ... + 3376724078.

Almost surely, 2^{12011001221100} is an apocalyptic number.

12011001221100 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 12011001221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153318835320).

12011001221100 is an abundant number, since it is smaller than the sum of its proper divisors (30295636449540).

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

12011001221100 is a wasteful number, since it uses less digits than its factorization.

12011001221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3692 counting only the distinct ones).

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

Adding to 12011001221100 its reverse (112210011021), we get a palindrome (12123211232121).

The spelling of 12011001221100 in words is "twelve trillion, eleven billion, one million, two hundred twenty-one thousand, one hundred".