112112211200000 has 432 divisors, whose sum is σ = 307984145135940. Its totient is φ = 40767795200000.

The previous prime is 112112211199837. The next prime is 112112211200023. The reversal of 112112211200000 is 2112211211.

It can be written as a sum of positive squares in 6 ways, for example, as 12787547137024 + 99324664062976 = 3575968^2 + 9966176^2 .

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 35 ways as a sum of consecutive naturals, for example, 774327614 + ... + 774472386.

Almost surely, 2^{112112211200000} is an apocalyptic number.

112112211200000 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 112112211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153992072567970).

112112211200000 is an abundant number, since it is smaller than the sum of its proper divisors (195871933935940).

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

112112211200000 is an frugal number, since it uses more digits than its factorization.

112112211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144842 (or 144791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112112211200000 its reverse (2112211211), we get a palindrome (112114323411211).

The spelling of 112112211200000 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred eleven million, two hundred thousand".