112211200000000 has 540 divisors, whose sum is σ = 285111152851140. Its totient is φ = 44154880000000.

The previous prime is 112211199999917. The next prime is 112211200000007. The reversal of 112211200000000 is 2112211.

It can be written as a sum of positive squares in 18 ways, for example, as 14924066996224 + 97287133003776 = 3863168^2 + 9863424^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211200000007) by changing a digit.

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, 569599999902 + ... + 569600000098.

It is an arithmetic number, because the mean of its divisors is an integer number (527983616391).

Almost surely, 2^{112211200000000} is an apocalyptic number.

112211200000000 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 112211200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142555576425570).

112211200000000 is an abundant number, since it is smaller than the sum of its proper divisors (172899952851140).

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

112211200000000 is an frugal number, since it uses more digits than its factorization.

112211200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112211200000000 its reverse (2112211), we get a palindrome (112211202112211).

The spelling of 112211200000000 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred million", and thus it is an aban number.