2012033120 has 96 divisors (see below), whose sum is σ = 5053920480. Its totient is φ = 754790400.

The previous prime is 2012033069. The next prime is 2012033143. The reversal of 2012033120 is 213302102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012033095 and 2012033104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303764 + ... + 310316.

It is an arithmetic number, because the mean of its divisors is an integer number (52645005).

Almost surely, 2^2012033120 is an apocalyptic number.

2012033120 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 2012033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526960240).

2012033120 is an abundant number, since it is smaller than the sum of its proper divisors (3041887360).

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

2012033120 is a wasteful number, since it uses less digits than its factorization.

2012033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2012033120 is about 44855.6921694449. The cubic root of 2012033120 is about 1262.4427960880.

Adding to 2012033120 its reverse (213302102), we get a palindrome (2225335222).

The spelling of 2012033120 in words is "two billion, twelve million, thirty-three thousand, one hundred twenty".