2012011111120 has 80 divisors (see below), whose sum is σ = 4755616246080. Its totient is φ = 791546591232.

The previous prime is 2012011111091. The next prime is 2012011111157. The reversal of 2012011111120 is 211111102102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2012011111120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2012011111120.

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 15 ways as a sum of consecutive naturals, for example, 344344 + ... + 2035336.

It is an arithmetic number, because the mean of its divisors is an integer number (59445203076).

Almost surely, 2^{2012011111120} is an apocalyptic number.

2012011111120 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 2012011111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377808123040).

2012011111120 is an abundant number, since it is smaller than the sum of its proper divisors (2743605134960).

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

2012011111120 is a wasteful number, since it uses less digits than its factorization.

2012011111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691252 (or 1691246 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2012011111120 its reverse (211111102102), we get a palindrome (2223122213222).

The spelling of 2012011111120 in words is "two trillion, twelve billion, eleven million, one hundred eleven thousand, one hundred twenty".