2122200200120 has 256 divisors, whose sum is σ = 6439392691200. Its totient is φ = 607890677760.

The previous prime is 2122200200117. The next prime is 2122200200123. The reversal of 2122200200120 is 210020022212.

It is an interprime number because it is at equal distance from previous prime (2122200200117) and next prime (2122200200123).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2122200200095 and 2122200200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122200200123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8972336 + ... + 9205824.

It is an arithmetic number, because the mean of its divisors is an integer number (25153877700).

Almost surely, 2^{2122200200120} is an apocalyptic number.

2122200200120 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 2122200200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219696345600).

2122200200120 is an abundant number, since it is smaller than the sum of its proper divisors (4317192491080).

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

2122200200120 is a wasteful number, since it uses less digits than its factorization.

2122200200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233758 (or 233754 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2122200200120 its reverse (210020022212), we get a palindrome (2332220222332).

The spelling of 2122200200120 in words is "two trillion, one hundred twenty-two billion, two hundred million, two hundred thousand, one hundred twenty".