112002201221112 has 320 divisors, whose sum is σ = 337295478643200. Its totient is φ = 34611594969600.

The previous prime is 112002201221081. The next prime is 112002201221191. The reversal of 112002201221112 is 211122102200211.

112002201221112 is a `hidden beast` number, since 11 + 200 + 220 + 1 + 221 + 1 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7541720487 + ... + 7541735337.

It is an arithmetic number, because the mean of its divisors is an integer number (1054048370760).

Almost surely, 2^{112002201221112} is an apocalyptic number.

112002201221112 is a gapful number since it is divisible by the number (12) 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 112002201221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168647739321600).

112002201221112 is an abundant number, since it is smaller than the sum of its proper divisors (225293277422088).

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

112002201221112 is a wasteful number, since it uses less digits than its factorization.

112002201221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27968 (or 27955 counting only the distinct ones).

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

Adding to 112002201221112 its reverse (211122102200211), we get a palindrome (323124303421323).

The spelling of 112002201221112 in words is "one hundred twelve trillion, two billion, two hundred one million, two hundred twenty-one thousand, one hundred twelve".