112213022121200 has 960 divisors, whose sum is σ = 366182146176000. Its totient is φ = 31910215680000.

The previous prime is 112213022121191. The next prime is 112213022121241. The reversal of 112213022121200 is 2121220312211.

It is a super-3 number, since 3×112213022121200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40819577426 + ... + 40819580174.

It is an arithmetic number, because the mean of its divisors is an integer number (381439735600).

Almost surely, 2^{112213022121200} is an apocalyptic number.

112213022121200 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 112213022121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183091073088000).

112213022121200 is an abundant number, since it is smaller than the sum of its proper divisors (253969124054800).

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

112213022121200 is a wasteful number, since it uses less digits than its factorization.

112213022121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 112213022121200 its reverse (2121220312211), we get a palindrome (114334242433411).

The spelling of 112213022121200 in words is "one hundred twelve trillion, two hundred thirteen billion, twenty-two million, one hundred twenty-one thousand, two hundred".