22211233200000 has 2304 divisors, whose sum is σ = 89936823674880. Its totient is φ = 5225472000000.

The previous prime is 22211233199951. The next prime is 22211233200073. The reversal of 22211233200000 is 233211222.

22211233200000 is a `hidden beast` number, since 2 + 221 + 123 + 320 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 174891599937 + ... + 174891600063.

It is an arithmetic number, because the mean of its divisors is an integer number (39035079720).

Almost surely, 2^{22211233200000} is an apocalyptic number.

22211233200000 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 22211233200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44968411837440).

22211233200000 is an abundant number, since it is smaller than the sum of its proper divisors (67725590474880).

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

22211233200000 is a wasteful number, since it uses less digits than its factorization.

22211233200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22211233200000 its reverse (233211222), we get a palindrome (22211466411222).

The spelling of 22211233200000 in words is "twenty-two trillion, two hundred eleven billion, two hundred thirty-three million, two hundred thousand".