20112120 has 192 divisors, whose sum is σ = 78174720. Its totient is φ = 4384512.

The previous prime is 20112119. The next prime is 20112133. The reversal of 20112120 is 2121102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 57787 + ... + 58133.

It is an arithmetic number, because the mean of its divisors is an integer number (407160).

Almost surely, 2^20112120 is an apocalyptic number.

20112120 is a gapful number since it is divisible by the number (20) 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 20112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39087360).

20112120 is an abundant number, since it is smaller than the sum of its proper divisors (58062600).

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

20112120 is a wasteful number, since it uses less digits than its factorization.

20112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 20112120 is about 4484.6538327947. The cubic root of 20112120 is about 271.9480509209.

Adding to 20112120 its reverse (2121102), we get a palindrome (22233222).

It can be divided in two parts, 201 and 12120, that added together give a palindrome (12321).

The spelling of 20112120 in words is "twenty million, one hundred twelve thousand, one hundred twenty".