2011122220000 has 120 divisors (see below), whose sum is σ = 4960400445000. Its totient is φ = 802377792000.

The previous prime is 2011122219973. The next prime is 2011122220007. The reversal of 2011122220000 is 222211102.

It is a happy number.

It is a super-2 number, since 2×2011122220000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011122220007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7650751 + ... + 7909249.

It is an arithmetic number, because the mean of its divisors is an integer number (41336670375).

Almost surely, 2^{2011122220000} is an apocalyptic number.

2011122220000 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 2011122220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480200222500).

2011122220000 is an abundant number, since it is smaller than the sum of its proper divisors (2949278225000).

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

2011122220000 is an equidigital number, since it uses as much as digits as its factorization.

2011122220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258918 (or 258895 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2011122220000 its reverse (222211102), we get a palindrome (2011344431102).

The spelling of 2011122220000 in words is "two trillion, eleven billion, one hundred twenty-two million, two hundred twenty thousand".