20132112 has 160 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 4815360.

The previous prime is 20132081. The next prime is 20132117. The reversal of 20132112 is 21123102.

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

It is not an unprimeable number, because it can be changed into a prime (20132117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47839 + ... + 48257.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^20132112 is an apocalyptic number.

20132112 is a gapful number since it is divisible by the number (22) 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 20132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

20132112 is an abundant number, since it is smaller than the sum of its proper divisors (49863408).

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

20132112 is a wasteful number, since it uses less digits than its factorization.

20132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

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

The square root of 20132112 is about 4486.8822137426. The cubic root of 20132112 is about 272.0381290262.

20132112 divided by its product of nonzero digits (24) gives a palindrome (838838).

Adding to 20132112 its reverse (21123102), we get a palindrome (41255214).

The spelling of 20132112 in words is "twenty million, one hundred thirty-two thousand, one hundred twelve".