112210011211200 has 1008 divisors, whose sum is σ = 437059830130560. Its totient is φ = 25123318456320.

The previous prime is 112210011211163. The next prime is 112210011211223. The reversal of 112210011211200 is 2112110012211.

It is a happy number.

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 112210011211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3927120114 + ... + 3927148686.

It is an arithmetic number, because the mean of its divisors is an integer number (433591101320).

Almost surely, 2^{112210011211200} is an apocalyptic number.

112210011211200 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 112210011211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218529915065280).

112210011211200 is an abundant number, since it is smaller than the sum of its proper divisors (324849818919360).

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

112210011211200 is a wasteful number, since it uses less digits than its factorization.

112210011211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28954 (or 28932 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112210011211200 its reverse (2112110012211), we get a palindrome (114322121223411).

The spelling of 112210011211200 in words is "one hundred twelve trillion, two hundred ten billion, eleven million, two hundred eleven thousand, two hundred".