220111212011200 has 168 divisors, whose sum is σ = 574765178089392. Its totient is φ = 82678337863680.

The previous prime is 220111212011177. The next prime is 220111212011209. The reversal of 220111212011200 is 2110212111022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220111212011209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2916052 + ... + 21183148.

Almost surely, 2^{220111212011200} is an apocalyptic number.

220111212011200 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 220111212011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287382589044696).

220111212011200 is an abundant number, since it is smaller than the sum of its proper divisors (354653966078192).

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

220111212011200 is a wasteful number, since it uses less digits than its factorization.

220111212011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18267579 (or 18267564 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220111212011200 its reverse (2110212111022), we get a palindrome (222221424122222).

The spelling of 220111212011200 in words is "two hundred twenty trillion, one hundred eleven billion, two hundred twelve million, eleven thousand, two hundred".