2012120020 has 48 divisors (see below), whose sum is σ = 4274726400. Its totient is φ = 795498624.

The previous prime is 2012120009. The next prime is 2012120023. The reversal of 2012120020 is 200212102.

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 = 2012119979 and 2012120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012120023) 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, 1298206 + ... + 1299754.

It is an arithmetic number, because the mean of its divisors is an integer number (89056800).

Almost surely, 2^2012120020 is an apocalyptic number.

2012120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012120020 is an abundant number, since it is smaller than the sum of its proper divisors (2262606380).

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

2012120020 is a wasteful number, since it uses less digits than its factorization.

2012120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2012120020 is about 44856.6608208859. The cubic root of 2012120020 is about 1262.4609708550.

Adding to 2012120020 its reverse (200212102), we get a palindrome (2212332122).

The spelling of 2012120020 in words is "two billion, twelve million, one hundred twenty thousand, twenty".