12001122100000 has 432 divisors, whose sum is σ = 32521605484032. Its totient is φ = 4323032000000.

The previous prime is 12001122099973. The next prime is 12001122100057. The reversal of 12001122100000 is 122110021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 12001122100000.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50213899881 + ... + 50213900119.

It is an arithmetic number, because the mean of its divisors is an integer number (75281494176).

Almost surely, 2^{12001122100000} is an apocalyptic number.

12001122100000 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 12001122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260802742016).

12001122100000 is an abundant number, since it is smaller than the sum of its proper divisors (20520483384032).

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

12001122100000 is an frugal number, since it uses more digits than its factorization.

12001122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12001122100000 its reverse (122110021), we get a palindrome (12001244210021).

The spelling of 12001122100000 in words is "twelve trillion, one billion, one hundred twenty-two million, one hundred thousand".