112332102120 has 768 divisors, whose sum is σ = 456693120000. Its totient is φ = 23873439744.

The previous prime is 112332102089. The next prime is 112332102133. The reversal of 112332102120 is 21201233211.

112332102120 is a `hidden beast` number, since 11 + 233 + 210 + 212 + 0 = 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 = 112332102093 and 112332102102.

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 191 ways as a sum of consecutive naturals, for example, 105080946 + ... + 105082014.

It is an arithmetic number, because the mean of its divisors is an integer number (594652500).

Almost surely, 2^112332102120 is an apocalyptic number.

112332102120 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 112332102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228346560000).

112332102120 is an abundant number, since it is smaller than the sum of its proper divisors (344361017880).

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

112332102120 is a wasteful number, since it uses less digits than its factorization.

112332102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1146 counting only the distinct ones).

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

Adding to 112332102120 its reverse (21201233211), we get a palindrome (133533335331).

The spelling of 112332102120 in words is "one hundred twelve billion, three hundred thirty-two million, one hundred two thousand, one hundred twenty".