2012112120 has 32 divisors (see below), whose sum is σ = 6036336720. Its totient is φ = 536563200.

The previous prime is 2012112119. The next prime is 2012112127. The reversal of 2012112120 is 212112102.

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 = 2012112096 and 2012112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012112127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8383681 + ... + 8383920.

Almost surely, 2^2012112120 is an apocalyptic number.

2012112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012112120 is an abundant number, since it is smaller than the sum of its proper divisors (4024224600).

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

2012112120 is a wasteful number, since it uses less digits than its factorization.

2012112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16767615 (or 16767611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2012112120 is about 44856.5727625283. The cubic root of 2012112120 is about 1262.4593186251.

Adding to 2012112120 its reverse (212112102), we get a palindrome (2224224222).

The spelling of 2012112120 in words is "two billion, twelve million, one hundred twelve thousand, one hundred twenty".