112200000111200 has 144 divisors (see below), whose sum is σ = 285860538754560. Its totient is φ = 42922202104320.

The previous prime is 112200000111167. The next prime is 112200000111203. The reversal of 112200000111200 is 2111000002211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112200000111203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122067737 + ... + 122983463.

It is an arithmetic number, because the mean of its divisors is an integer number (1985142630240).

Almost surely, 2^{112200000111200} is an apocalyptic number.

112200000111200 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 112200000111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142930269377280).

112200000111200 is an abundant number, since it is smaller than the sum of its proper divisors (173660538643360).

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

112200000111200 is a wasteful number, since it uses less digits than its factorization.

112200000111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922429 (or 922416 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112200000111200 its reverse (2111000002211), we get a palindrome (114311000113411).

The spelling of 112200000111200 in words is "one hundred twelve trillion, two hundred billion, one hundred eleven thousand, two hundred".