112112332102000 has 320 divisors, whose sum is σ = 295017677660160. Its totient is φ = 41050374912000.

The previous prime is 112112332101997. The next prime is 112112332102049. The reversal of 112112332102000 is 201233211211.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 762092452 + ... + 762239548.

It is an arithmetic number, because the mean of its divisors is an integer number (921930242688).

Almost surely, 2^{112112332102000} is an apocalyptic number.

112112332102000 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 112112332102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147508838830080).

112112332102000 is an abundant number, since it is smaller than the sum of its proper divisors (182905345558160).

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

112112332102000 is a wasteful number, since it uses less digits than its factorization.

112112332102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147817 (or 147801 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 112112332102000 its reverse (201233211211), we get a palindrome (112313565313211).

The spelling of 112112332102000 in words is "one hundred twelve trillion, one hundred twelve billion, three hundred thirty-two million, one hundred two thousand".