22120122011200 has 84 divisors (see below), whose sum is σ = 54452525488432. Its totient is φ = 8844277363200.

The previous prime is 22120122011191. The next prime is 22120122011209. The reversal of 22120122011200 is 211022102122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22120122011191) and next prime (22120122011209).

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

It is not an unprimeable number, because it can be changed into a prime (22120122011209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 809935 + ... + 6700465.

Almost surely, 2^{22120122011200} is an apocalyptic number.

22120122011200 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 22120122011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27226262744216).

22120122011200 is an abundant number, since it is smaller than the sum of its proper divisors (32332403477232).

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

22120122011200 is a wasteful number, since it uses less digits than its factorization.

22120122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892900 (or 5892885 counting only the distinct ones).

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

Adding to 22120122011200 its reverse (211022102122), we get a palindrome (22331144113322).

The spelling of 22120122011200 in words is "twenty-two trillion, one hundred twenty billion, one hundred twenty-two million, eleven thousand, two hundred".