2012311003300 has 108 divisors (see below), whose sum is σ = 4739003520300. Its totient is φ = 741349539840.

The previous prime is 2012311003277. The next prime is 2012311003331. The reversal of 2012311003300 is 33001132102.

It can be written as a sum of positive squares in 18 ways, for example, as 2012062814784 + 248188516 = 1418472^2 + 15754^2 .

It is a super-2 number, since 2×2012311003300² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7455504 + ... + 7720696.

It is an arithmetic number, because the mean of its divisors is an integer number (43879662225).

Almost surely, 2^{2012311003300} is an apocalyptic number.

2012311003300 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 2012311003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369501760150).

2012311003300 is an abundant number, since it is smaller than the sum of its proper divisors (2726692517000).

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

2012311003300 is a wasteful number, since it uses less digits than its factorization.

2012311003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265682 (or 265662 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2012311003300 its reverse (33001132102), we get a palindrome (2045312135402).

The spelling of 2012311003300 in words is "two trillion, twelve billion, three hundred eleven million, three thousand, three hundred".