2202220122120 has 288 divisors, whose sum is σ = 7376240781000. Its totient is φ = 569404256256.

The previous prime is 2202220122107. The next prime is 2202220122121. The reversal of 2202220122120 is 212210222022.

2202220122120 is a `hidden beast` number, since 2 + 202 + 220 + 1 + 221 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1479186223524 + 723033898596 = 1216218^2 + 850314^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2202220122093 and 2202220122102.

It is not an unprimeable number, because it can be changed into a prime (2202220122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2099351356 + ... + 2099352404.

Almost surely, 2^{2202220122120} is an apocalyptic number.

2202220122120 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 2202220122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688120390500).

2202220122120 is an abundant number, since it is smaller than the sum of its proper divisors (5174020658880).

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

2202220122120 is a wasteful number, since it uses less digits than its factorization.

2202220122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1493 counting only the distinct ones).

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

Adding to 2202220122120 its reverse (212210222022), we get a palindrome (2414430344142).

The spelling of 2202220122120 in words is "two trillion, two hundred two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".