2012011120 has 80 divisors (see below), whose sum is σ = 5351943168. Its totient is φ = 689091840.

The previous prime is 2012011093. The next prime is 2012011121. The reversal of 2012011120 is 211102102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2012011097 and 2012011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878617 + ... + 880903.

Almost surely, 2^2012011120 is an apocalyptic number.

2012011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012011120 is an abundant number, since it is smaller than the sum of its proper divisors (3339932048).

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

2012011120 is a wasteful number, since it uses less digits than its factorization.

2012011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2012011120 is about 44855.4469379138. The cubic root of 2012011120 is about 1262.4381947981.

Adding to 2012011120 its reverse (211102102), we get a palindrome (2223113222).

The spelling of 2012011120 in words is "two billion, twelve million, eleven thousand, one hundred twenty".