112222020211200 has 360 divisors, whose sum is σ = 402280119557316. Its totient is φ = 29876060160000.

The previous prime is 112222020211177. The next prime is 112222020211211. The reversal of 112222020211200 is 2112020222211.

It is a happy number.

112222020211200 is a `hidden beast` number, since 1 + 12 + 2 + 220 + 20 + 211 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 46118876223744 + 66103143987456 = 6791088^2 + 8130384^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 68424760 + ... + 70045640.

Almost surely, 2^{112222020211200} is an apocalyptic number.

112222020211200 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 112222020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201140059778658).

112222020211200 is an abundant number, since it is smaller than the sum of its proper divisors (290058099346116).

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

112222020211200 is a wasteful number, since it uses less digits than its factorization.

112222020211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621516 (or 1621492 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112222020211200 its reverse (2112020222211), we get a palindrome (114334040433411).

The spelling of 112222020211200 in words is "one hundred twelve trillion, two hundred twenty-two billion, twenty million, two hundred eleven thousand, two hundred".