11220123211000 has 192 divisors, whose sum is σ = 29018396796480. Its totient is φ = 4057495200000.

The previous prime is 11220123210949. The next prime is 11220123211081. The reversal of 11220123211000 is 11232102211.

11220123211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21644845 + ... + 22157155.

It is an arithmetic number, because the mean of its divisors is an integer number (151137483315).

Almost surely, 2^{11220123211000} is an apocalyptic number.

11220123211000 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 11220123211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509198398240).

11220123211000 is an abundant number, since it is smaller than the sum of its proper divisors (17798273585480).

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

11220123211000 is a wasteful number, since it uses less digits than its factorization.

11220123211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512535 (or 512510 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11220123211000 its reverse (11232102211), we get a palindrome (11231355313211).

The spelling of 11220123211000 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-three million, two hundred eleven thousand".