112201222201200 has 180 divisors, whose sum is σ = 424766627107368. Its totient is φ = 27200296281600.

The previous prime is 112201222201177. The next prime is 112201222201207. The reversal of 112201222201200 is 2102222102211.

It is a happy number.

112201222201200 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 22 + 220 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×112201222201200² (a number of 29 digits) contains 22 as substring.

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 (112201222201207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1416642499 + ... + 1416721698.

Almost surely, 2^{112201222201200} is an apocalyptic number.

112201222201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112201222201200 is an abundant number, since it is smaller than the sum of its proper divisors (312565404906168).

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

112201222201200 is a wasteful number, since it uses less digits than its factorization.

112201222201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833364232 (or 2833364218 counting only the distinct ones).

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

Adding to 112201222201200 its reverse (2102222102211), we get a palindrome (114303444303411).

The spelling of 112201222201200 in words is "one hundred twelve trillion, two hundred one billion, two hundred twenty-two million, two hundred one thousand, two hundred".