22120221102200 has 384 divisors, whose sum is σ = 58889575825920. Its totient is φ = 7654868582400.

The previous prime is 22120221102197. The next prime is 22120221102211. The reversal of 22120221102200 is 220112202122.

It is a happy number.

It is a super-2 number, since 2×22120221102200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14116285817 + ... + 14116287383.

It is an arithmetic number, because the mean of its divisors is an integer number (153358270380).

Almost surely, 2^{22120221102200} is an apocalyptic number.

22120221102200 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 22120221102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29444787912960).

22120221102200 is an abundant number, since it is smaller than the sum of its proper divisors (36769354723720).

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

22120221102200 is a wasteful number, since it uses less digits than its factorization.

22120221102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22120221102200 its reverse (220112202122), we get a palindrome (22340333304322).

The spelling of 22120221102200 in words is "twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred two thousand, two hundred".