1110221112000 has 1792 divisors, whose sum is σ = 5059192320000. Its totient is φ = 207028224000.

The previous prime is 1110221111977. The next prime is 1110221112017. The reversal of 1110221112000 is 2111220111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 255 ways as a sum of consecutive naturals, for example, 888887376 + ... + 888888624.

It is an arithmetic number, because the mean of its divisors is an integer number (2823210000).

Almost surely, 2^{1110221112000} is an apocalyptic number.

1110221112000 is a gapful number since it is divisible by the number (10) 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 1110221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529596160000).

1110221112000 is an abundant number, since it is smaller than the sum of its proper divisors (3948971208000).

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

1110221112000 is a wasteful number, since it uses less digits than its factorization.

1110221112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1110221112000 its reverse (2111220111), we get a palindrome (1112332332111).

It can be divided in two parts, 1110221 and 112000, that added together give a palindrome (1222221).

The spelling of 1110221112000 in words is "one trillion, one hundred ten billion, two hundred twenty-one million, one hundred twelve thousand".