11311212221000 has 256 divisors, whose sum is σ = 28934889984000. Its totient is φ = 4124163859200.

The previous prime is 11311212220969. The next prime is 11311212221009. The reversal of 11311212221000 is 12221211311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11311212221000.

It is not an unprimeable number, because it can be changed into a prime (11311212221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54635681 + ... + 54842319.

It is an arithmetic number, because the mean of its divisors is an integer number (113026914000).

Almost surely, 2^{11311212221000} is an apocalyptic number.

11311212221000 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 11311212221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467444992000).

11311212221000 is an abundant number, since it is smaller than the sum of its proper divisors (17623677763000).

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

11311212221000 is a wasteful number, since it uses less digits than its factorization.

11311212221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206789 (or 206775 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11311212221000 its reverse (12221211311), we get a palindrome (11323433432311).

The spelling of 11311212221000 in words is "eleven trillion, three hundred eleven billion, two hundred twelve million, two hundred twenty-one thousand".