12111221001000 has 512 divisors, whose sum is σ = 42093040504320. Its totient is φ = 2874617856000.

The previous prime is 12111221000987. The next prime is 12111221001001. The reversal of 12111221001000 is 10012211121.

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 (12111221001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 330014652 + ... + 330051348.

It is an arithmetic number, because the mean of its divisors is an integer number (82212969735).

Almost surely, 2^{12111221001000} is an apocalyptic number.

12111221001000 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 12111221001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046520252160).

12111221001000 is an abundant number, since it is smaller than the sum of its proper divisors (29981819503320).

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

12111221001000 is a wasteful number, since it uses less digits than its factorization.

12111221001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36942 (or 36928 counting only the distinct ones).

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

Adding to 12111221001000 its reverse (10012211121), we get a palindrome (12121233212121).

It can be divided in two parts, 1211122 and 1001000, that added together give a palindrome (2212122).

The spelling of 12111221001000 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-one million, one thousand".