2011220313120 has 576 divisors, whose sum is σ = 7374689038080. Its totient is φ = 497823473664.

The previous prime is 2011220313049. The next prime is 2011220313149. The reversal of 2011220313120 is 213130221102.

2011220313120 is a `hidden beast` number, since 2 + 0 + 11 + 220 + 313 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011220313093 and 2011220313102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 513457402 + ... + 513461318.

It is an arithmetic number, because the mean of its divisors is an integer number (12803279580).

Almost surely, 2^{2011220313120} is an apocalyptic number.

2011220313120 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 2011220313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687344519040).

2011220313120 is an abundant number, since it is smaller than the sum of its proper divisors (5363468724960).

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

2011220313120 is a wasteful number, since it uses less digits than its factorization.

2011220313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2011220313120 its reverse (213130221102), we get a palindrome (2224350534222).

The spelling of 2011220313120 in words is "two trillion, eleven billion, two hundred twenty million, three hundred thirteen thousand, one hundred twenty".