20122012221200 has 240 divisors, whose sum is σ = 51988425861120. Its totient is φ = 7460331932160.

The previous prime is 20122012221187. The next prime is 20122012221287. The reversal of 20122012221200 is 212221022102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236975467 + ... + 1236991733.

It is an arithmetic number, because the mean of its divisors is an integer number (216618441088).

Almost surely, 2^{20122012221200} is an apocalyptic number.

20122012221200 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 20122012221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25994212930560).

20122012221200 is an abundant number, since it is smaller than the sum of its proper divisors (31866413639920).

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

20122012221200 is a wasteful number, since it uses less digits than its factorization.

20122012221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19814 (or 19803 counting only the distinct ones).

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

Adding to 20122012221200 its reverse (212221022102), we get a palindrome (20334233243302).

The spelling of 20122012221200 in words is "twenty trillion, one hundred twenty-two billion, twelve million, two hundred twenty-one thousand, two hundred".