22200210211120 has 80 divisors (see below), whose sum is σ = 52032477610080. Its totient is φ = 8808403968000.

The previous prime is 22200210211111. The next prime is 22200210211121. The reversal of 22200210211120 is 2111201200222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22200210211094 and 22200210211103.

It is not an unprimeable number, because it can be changed into a prime (22200210211121) 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 15 ways as a sum of consecutive naturals, for example, 23312320 + ... + 24245920.

It is an arithmetic number, because the mean of its divisors is an integer number (650405970126).

Almost surely, 2^{22200210211120} is an apocalyptic number.

22200210211120 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 22200210211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016238805040).

22200210211120 is an abundant number, since it is smaller than the sum of its proper divisors (29832267398960).

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

22200210211120 is a wasteful number, since it uses less digits than its factorization.

22200210211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936014 (or 936008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22200210211120 its reverse (2111201200222), we get a palindrome (24311411411342).

The spelling of 22200210211120 in words is "twenty-two trillion, two hundred billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".