112002020 has 48 divisors (see below), whose sum is σ = 255965808. Its totient is φ = 40919040.

The previous prime is 112001963. The next prime is 112002029. The reversal of 112002020 is 20200211.

It can be written as a sum of positive squares in 8 ways, for example, as 13118884 + 98883136 = 3622^2 + 9944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112001989 and 112002007.

It is not an unprimeable number, because it can be changed into a prime (112002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23000 + ... + 27440.

It is an arithmetic number, because the mean of its divisors is an integer number (5332621).

Almost surely, 2^112002020 is an apocalyptic number.

112002020 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 112002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127982904).

112002020 is an abundant number, since it is smaller than the sum of its proper divisors (143963788).

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

112002020 is a wasteful number, since it uses less digits than its factorization.

112002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4558 counting only the distinct ones).

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

The square root of 112002020 is about 10583.1006798575. The cubic root of 112002020 is about 482.0313507268.

Adding to 112002020 its reverse (20200211), we get a palindrome (132202231).

The spelling of 112002020 in words is "one hundred twelve million, two thousand, twenty".