2122120222200 has 576 divisors, whose sum is σ = 8006918774400. Its totient is φ = 499163212800.

The previous prime is 2122120222091. The next prime is 2122120222213. The reversal of 2122120222200 is 22220212212.

2122120222200 is a `hidden beast` number, since 2 + 1 + 221 + 20 + 222 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277651579 + ... + 277659221.

It is an arithmetic number, because the mean of its divisors is an integer number (13900900650).

Almost surely, 2^{2122120222200} is an apocalyptic number.

2122120222200 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 2122120222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003459387200).

2122120222200 is an abundant number, since it is smaller than the sum of its proper divisors (5884798552200).

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

2122120222200 is a wasteful number, since it uses less digits than its factorization.

2122120222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 8080 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122120222200 its reverse (22220212212), we get a palindrome (2144340434412).

The spelling of 2122120222200 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, two hundred".