2222111011200 has 192 divisors, whose sum is σ = 7331781130320. Its totient is φ = 591534489600.

The previous prime is 2222111011189. The next prime is 2222111011201. The reversal of 2222111011200 is 21101112222.

It is a tau number, because it is divible by the number of its divisors (192).

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 2222111011200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222111011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5338620 + ... + 5739780.

Almost surely, 2^{2222111011200} is an apocalyptic number.

2222111011200 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 2222111011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665890565160).

2222111011200 is an abundant number, since it is smaller than the sum of its proper divisors (5109670119120).

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

2222111011200 is a wasteful number, since it uses less digits than its factorization.

2222111011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401765 (or 401748 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2222111011200 its reverse (21101112222), we get a palindrome (2243212123422).

The spelling of 2222111011200 in words is "two trillion, two hundred twenty-two billion, one hundred eleven million, eleven thousand, two hundred".