112021221121200 has 960 divisors, whose sum is σ = 405822372134400. Its totient is φ = 29345315328000.

The previous prime is 112021221121157. The next prime is 112021221121207. The reversal of 112021221121200 is 2121122120211.

112021221121200 is a `hidden beast` number, since 1 + 1 + 20 + 212 + 211 + 21 + 200 = 666.

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 (112021221121207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96320911819 + ... + 96320912981.

It is an arithmetic number, because the mean of its divisors is an integer number (422731637640).

Almost surely, 2^{112021221121200} is an apocalyptic number.

112021221121200 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 112021221121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202911186067200).

112021221121200 is an abundant number, since it is smaller than the sum of its proper divisors (293801151013200).

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

112021221121200 is a wasteful number, since it uses less digits than its factorization.

112021221121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112021221121200 its reverse (2121122120211), we get a palindrome (114142343241411).

The spelling of 112021221121200 in words is "one hundred twelve trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".