1020032112 has 80 divisors (see below), whose sum is σ = 2944811520. Its totient is φ = 301555200.

The previous prime is 1020032077. The next prime is 1020032171. The reversal of 1020032112 is 2112300201.

1020032112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020032112² = 2080931019022361088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1912 + ... + 45207.

It is an arithmetic number, because the mean of its divisors is an integer number (36810144).

Almost surely, 2^1020032112 is an apocalyptic number.

1020032112 is a gapful number since it is divisible by the number (12) 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 1020032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472405760).

1020032112 is an abundant number, since it is smaller than the sum of its proper divisors (1924779408).

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

1020032112 is a wasteful number, since it uses less digits than its factorization.

1020032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47182 (or 47176 counting only the distinct ones).

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

The square root of 1020032112 is about 31937.9415742468. The cubic root of 1020032112 is about 1006.6332730664.

Adding to 1020032112 its reverse (2112300201), we get a palindrome (3132332313).

The spelling of 1020032112 in words is "one billion, twenty million, thirty-two thousand, one hundred twelve".