112202111201120 has 192 divisors, whose sum is σ = 276436061798400. Its totient is φ = 42982880532480.

The previous prime is 112202111201113. The next prime is 112202111201123. The reversal of 112202111201120 is 21102111202211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202111201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3200362151 + ... + 3200397209.

It is an arithmetic number, because the mean of its divisors is an integer number (1439771155200).

Almost surely, 2^{112202111201120} is an apocalyptic number.

112202111201120 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 112202111201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138218030899200).

112202111201120 is an abundant number, since it is smaller than the sum of its proper divisors (164233950597280).

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

112202111201120 is a wasteful number, since it uses less digits than its factorization.

112202111201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40661 (or 40653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112202111201120 its reverse (21102111202211), we get a palindrome (133304222403331).

The spelling of 112202111201120 in words is "one hundred twelve trillion, two hundred two billion, one hundred eleven million, two hundred one thousand, one hundred twenty".