20122100222120 has 128 divisors (see below), whose sum is σ = 49970758602240. Its totient is φ = 7245922590720.

The previous prime is 20122100222069. The next prime is 20122100222137. The reversal of 20122100222120 is 2122200122102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5461880 + ... + 8371160.

It is an arithmetic number, because the mean of its divisors is an integer number (390396551580).

Almost surely, 2^{20122100222120} is an apocalyptic number.

20122100222120 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 20122100222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24985379301120).

20122100222120 is an abundant number, since it is smaller than the sum of its proper divisors (29848658380120).

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

20122100222120 is a wasteful number, since it uses less digits than its factorization.

20122100222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909635 (or 2909631 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20122100222120 its reverse (2122200122102), we get a palindrome (22244300344222).

The spelling of 20122100222120 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".