112100222011200 has 168 divisors, whose sum is σ = 387139100365920. Its totient is φ = 28320056064000.

The previous prime is 112100222011139. The next prime is 112100222011201. The reversal of 112100222011200 is 2110222001211.

It is a super-3 number, since 3×112100222011200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112100222011200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100222011201) 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, 614493351 + ... + 614675750.

It is an arithmetic number, because the mean of its divisors is an integer number (2304399406940).

Almost surely, 2^{112100222011200} is an apocalyptic number.

112100222011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100222011200 is an abundant number, since it is smaller than the sum of its proper divisors (275038878354720).

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

112100222011200 is a wasteful number, since it uses less digits than its factorization.

112100222011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229169145 (or 1229169130 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112100222011200 its reverse (2110222001211), we get a palindrome (114210444012411).

The spelling of 112100222011200 in words is "one hundred twelve trillion, one hundred billion, two hundred twenty-two million, eleven thousand, two hundred".