112102200000000 has 3240 divisors, whose sum is σ = 497465464047552. Its totient is φ = 24192000000000.

The previous prime is 112102199999981. The next prime is 112102200000001. The reversal of 112102200000000 is 2201211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102200000001) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 2734199999980 + ... + 2734200000020.

Almost surely, 2^{112102200000000} is an apocalyptic number.

112102200000000 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 112102200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248732732023776).

112102200000000 is an abundant number, since it is smaller than the sum of its proper divisors (385363264047552).

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

112102200000000 is an frugal number, since it uses more digits than its factorization.

112102200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112102200000000 its reverse (2201211), we get a palindrome (112102202201211).

The spelling of 112102200000000 in words is "one hundred twelve trillion, one hundred two billion, two hundred million", and thus it is an aban number.