2012331332220 has 576 divisors, whose sum is σ = 6721294712832. Its totient is φ = 445781952000.

The previous prime is 2012331332177. The next prime is 2012331332257. The reversal of 2012331332220 is 222331332102.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 795072355 + ... + 795074885.

It is an arithmetic number, because the mean of its divisors is an integer number (11668914432).

Almost surely, 2^{2012331332220} is an apocalyptic number.

2012331332220 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 2012331332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360647356416).

2012331332220 is an abundant number, since it is smaller than the sum of its proper divisors (4708963380612).

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

2012331332220 is a wasteful number, since it uses less digits than its factorization.

2012331332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2012331332220 its reverse (222331332102), we get a palindrome (2234662664322).

The spelling of 2012331332220 in words is "two trillion, twelve billion, three hundred thirty-one million, three hundred thirty-two thousand, two hundred twenty".