2122242322200 has 1536 divisors, whose sum is σ = 9261907200000. Its totient is φ = 395858534400.

The previous prime is 2122242322183. The next prime is 2122242322229. The reversal of 2122242322200 is 22232422212.

It is a super-2 number, since 2×2122242322200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1088886826 + ... + 1088888774.

It is an arithmetic number, because the mean of its divisors is an integer number (6029887500).

Almost surely, 2^{2122242322200} is an apocalyptic number.

2122242322200 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 2122242322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630953600000).

2122242322200 is an abundant number, since it is smaller than the sum of its proper divisors (7139664877800).

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

2122242322200 is a wasteful number, since it uses less digits than its factorization.

2122242322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2027 counting only the distinct ones).

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

Adding to 2122242322200 its reverse (22232422212), we get a palindrome (2144474744412).

It can be divided in two parts, 2122242 and 322200, that added together give a palindrome (2444442).

The spelling of 2122242322200 in words is "two trillion, one hundred twenty-two billion, two hundred forty-two million, three hundred twenty-two thousand, two hundred".