22001120211000 has 256 divisors, whose sum is σ = 78493693824000. Its totient is φ = 5026007923200.

The previous prime is 22001120210989. The next prime is 22001120211017. The reversal of 22001120211000 is 11202110022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37276191 + ... + 37861809.

It is an arithmetic number, because the mean of its divisors is an integer number (306615991500).

Almost surely, 2^{22001120211000} is an apocalyptic number.

22001120211000 is a gapful number since it is divisible by the number (20) 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 22001120211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39246846912000).

22001120211000 is an abundant number, since it is smaller than the sum of its proper divisors (56492573613000).

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

22001120211000 is a wasteful number, since it uses less digits than its factorization.

22001120211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587439 (or 587425 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22001120211000 its reverse (11202110022), we get a palindrome (22012322321022).

It can be divided in two parts, 2 and 2001120211000, that added together give a palindrome (2001120211002).

The spelling of 22001120211000 in words is "twenty-two trillion, one billion, one hundred twenty million, two hundred eleven thousand".