2222112103200 has 432 divisors, whose sum is σ = 8551297119456. Its totient is φ = 538489958400.

The previous prime is 2222112103199. The next prime is 2222112103201. The reversal of 2222112103200 is 23012112222.

2222112103200 is a `hidden beast` number, since 2 + 2 + 221 + 121 + 0 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2222112103199) and next prime (2222112103201).

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

It is not an unprimeable number, because it can be changed into a prime (2222112103201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391007559 + ... + 391013241.

It is an arithmetic number, because the mean of its divisors is an integer number (19794669258).

Almost surely, 2^{2222112103200} is an apocalyptic number.

2222112103200 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 2222112103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275648559728).

2222112103200 is an abundant number, since it is smaller than the sum of its proper divisors (6329185016256).

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

2222112103200 is a wasteful number, since it uses less digits than its factorization.

2222112103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10641 counting only the distinct ones).

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

Adding to 2222112103200 its reverse (23012112222), we get a palindrome (2245124215422).

The spelling of 2222112103200 in words is "two trillion, two hundred twenty-two billion, one hundred twelve million, one hundred three thousand, two hundred".