2122320244200 has 384 divisors, whose sum is σ = 7284743329920. Its totient is φ = 507741696000.

The previous prime is 2122320244199. The next prime is 2122320244243. The reversal of 2122320244200 is 24420232212.

It is a super-2 number, since 2×2122320244200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 303315102 + ... + 303322098.

It is an arithmetic number, because the mean of its divisors is an integer number (18970685755).

Almost surely, 2^{2122320244200} is an apocalyptic number.

2122320244200 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 2122320244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642371664960).

2122320244200 is an abundant number, since it is smaller than the sum of its proper divisors (5162423085720).

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

2122320244200 is a wasteful number, since it uses less digits than its factorization.

2122320244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2122320244200 its reverse (24420232212), we get a palindrome (2146740476412).

The spelling of 2122320244200 in words is "two trillion, one hundred twenty-two billion, three hundred twenty million, two hundred forty-four thousand, two hundred".