112112122102200 has 768 divisors, whose sum is σ = 439710249600000. Its totient is φ = 25989658675200.

The previous prime is 112112122102193. The next prime is 112112122102207. The reversal of 112112122102200 is 2201221211211.

112112122102200 is a `hidden beast` number, since 1 + 1 + 21 + 1 + 212 + 210 + 220 + 0 = 666.

112112122102200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112112122102193) and next prime (112112122102207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112122102207) 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, 5941594366 + ... + 5941613234.

It is an arithmetic number, because the mean of its divisors is an integer number (572539387500).

Almost surely, 2^{112112122102200} is an apocalyptic number.

112112122102200 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 112112122102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219855124800000).

112112122102200 is an abundant number, since it is smaller than the sum of its proper divisors (327598127497800).

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

112112122102200 is a wasteful number, since it uses less digits than its factorization.

112112122102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23277 (or 23262 counting only the distinct ones).

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

Adding to 112112122102200 its reverse (2201221211211), we get a palindrome (114313343313411).

The spelling of 112112122102200 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, two hundred".