22011133031200 has 288 divisors, whose sum is σ = 55902175781760. Its totient is φ = 8456157388800.

The previous prime is 22011133031161. The next prime is 22011133031203. The reversal of 22011133031200 is 213033111022.

It is not an unprimeable number, because it can be changed into a prime (22011133031203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6766408774 + ... + 6766412026.

It is an arithmetic number, because the mean of its divisors is an integer number (194104777020).

Almost surely, 2^{22011133031200} is an apocalyptic number.

22011133031200 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 22011133031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27951087890880).

22011133031200 is an abundant number, since it is smaller than the sum of its proper divisors (33891042750560).

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

22011133031200 is a wasteful number, since it uses less digits than its factorization.

22011133031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22011133031200 its reverse (213033111022), we get a palindrome (22224166142222).

The spelling of 22011133031200 in words is "twenty-two trillion, eleven billion, one hundred thirty-three million, thirty-one thousand, two hundred".