112102332120 has 384 divisors, whose sum is σ = 392154272640. Its totient is φ = 27699978240.

The previous prime is 112102332119. The next prime is 112102332151. The reversal of 112102332120 is 21233201211.

112102332120 is a `hidden beast` number, since 1 + 1 + 210 + 2 + 332 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112102332093 and 112102332102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84861060 + ... + 84862380.

It is an arithmetic number, because the mean of its divisors is an integer number (1021235085).

Almost surely, 2^112102332120 is an apocalyptic number.

112102332120 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 112102332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196077136320).

112102332120 is an abundant number, since it is smaller than the sum of its proper divisors (280051940520).

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

112102332120 is a wasteful number, since it uses less digits than its factorization.

112102332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112102332120 its reverse (21233201211), we get a palindrome (133335533331).

The spelling of 112102332120 in words is "one hundred twelve billion, one hundred two million, three hundred thirty-two thousand, one hundred twenty".