112221020111200 has 1296 divisors, whose sum is σ = 375214911271200. Its totient is φ = 32065796505600.

The previous prime is 112221020111173. The next prime is 112221020111237. The reversal of 112221020111200 is 2111020122211.

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

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 17062642312 + ... + 17062648888.

It is an arithmetic number, because the mean of its divisors is an integer number (289517678450).

Almost surely, 2^{112221020111200} is an apocalyptic number.

112221020111200 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 112221020111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187607455635600).

112221020111200 is an abundant number, since it is smaller than the sum of its proper divisors (262993891160000).

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

112221020111200 is a wasteful number, since it uses less digits than its factorization.

112221020111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6764 counting only the distinct ones).

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

Adding to 112221020111200 its reverse (2111020122211), we get a palindrome (114332040233411).

The spelling of 112221020111200 in words is "one hundred twelve trillion, two hundred twenty-one billion, twenty million, one hundred eleven thousand, two hundred".