112132020 has 192 divisors, whose sum is σ = 421779456. Its totient is φ = 21496320.

The previous prime is 112132019. The next prime is 112132021. The reversal of 112132020 is 20231211.

It is an interprime number because it is at equal distance from previous prime (112132019) and next prime (112132021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112131987 and 112132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112132021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 59127 + ... + 60993.

It is an arithmetic number, because the mean of its divisors is an integer number (2196768).

Almost surely, 2^112132020 is an apocalyptic number.

112132020 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 112132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210889728).

112132020 is an abundant number, since it is smaller than the sum of its proper divisors (309647436).

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

112132020 is a wasteful number, since it uses less digits than its factorization.

112132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112132020 is about 10589.2407659851. The cubic root of 112132020 is about 482.2177754794.

Adding to 112132020 its reverse (20231211), we get a palindrome (132363231).

The spelling of 112132020 in words is "one hundred twelve million, one hundred thirty-two thousand, twenty".