2220111223200 has 864 divisors, whose sum is σ = 8721679276800. Its totient is φ = 544786145280.

The previous prime is 2220111223181. The next prime is 2220111223219. The reversal of 2220111223200 is 23221110222.

2220111223200 is a `hidden beast` number, since 2 + 220 + 1 + 1 + 122 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2220111223181) and next prime (2220111223219).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 1493012857 + ... + 1493014343.

It is an arithmetic number, because the mean of its divisors is an integer number (10094536200).

Almost surely, 2^{2220111223200} is an apocalyptic number.

2220111223200 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 2220111223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360839638400).

2220111223200 is an abundant number, since it is smaller than the sum of its proper divisors (6501568053600).

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

2220111223200 is a wasteful number, since it uses less digits than its factorization.

2220111223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2220111223200 its reverse (23221110222), we get a palindrome (2243332333422).

The spelling of 2220111223200 in words is "two trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty-three thousand, two hundred".