20112122200200 has 192 divisors, whose sum is σ = 62518177330560. Its totient is φ = 5348577361920.

The previous prime is 20112122200199. The next prime is 20112122200211. The reversal of 20112122200200 is 200222121102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20112122200200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331104232 + ... + 331164968.

It is an arithmetic number, because the mean of its divisors is an integer number (325615506930).

Almost surely, 2^{20112122200200} is an apocalyptic number.

20112122200200 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 20112122200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31259088665280).

20112122200200 is an abundant number, since it is smaller than the sum of its proper divisors (42406055130360).

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

20112122200200 is a wasteful number, since it uses less digits than its factorization.

20112122200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62256 (or 62247 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20112122200200 its reverse (200222121102), we get a palindrome (20312344321302).

The spelling of 20112122200200 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-two million, two hundred thousand, two hundred".