2012011312224 has 72 divisors (see below), whose sum is σ = 5308485410088. Its totient is φ = 667264783360.

The previous prime is 2012011312193. The next prime is 2012011312229. The reversal of 2012011312224 is 4222131102102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2012011312224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012011312229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3455644 + ... + 3995684.

It is an arithmetic number, because the mean of its divisors is an integer number (73728964029).

Almost surely, 2^{2012011312224} is an apocalyptic number.

2012011312224 is a gapful number since it is divisible by the number (24) 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 2012011312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654242705044).

2012011312224 is an abundant number, since it is smaller than the sum of its proper divisors (3296474097864).

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

2012011312224 is an equidigital number, since it uses as much as digits as its factorization.

2012011312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540448 (or 540243 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2012011312224 its reverse (4222131102102), we get a palindrome (6234142414326).

The spelling of 2012011312224 in words is "two trillion, twelve billion, eleven million, three hundred twelve thousand, two hundred twenty-four".