20111111132200 has 384 divisors, whose sum is σ = 52214601801600. Its totient is φ = 7142768640000.

The previous prime is 20111111132191. The next prime is 20111111132237. The reversal of 20111111132200 is 223111111102.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 7479028456 + ... + 7479031144.

It is an arithmetic number, because the mean of its divisors is an integer number (135975525525).

Almost surely, 2^{20111111132200} is an apocalyptic number.

20111111132200 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 20111111132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26107300900800).

20111111132200 is an abundant number, since it is smaller than the sum of its proper divisors (32103490669400).

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

20111111132200 is a wasteful number, since it uses less digits than its factorization.

20111111132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 20111111132200 its reverse (223111111102), we get a palindrome (20334222243302).

It can be divided in two parts, 201111 and 11132200, that added together give a palindrome (11333311).

The spelling of 20111111132200 in words is "twenty trillion, one hundred eleven billion, one hundred eleven million, one hundred thirty-two thousand, two hundred".