2011113212220 has 216 divisors, whose sum is σ = 7097606884368. Its totient is φ = 459602035200.

The previous prime is 2011113212131. The next prime is 2011113212221. The reversal of 2011113212220 is 222123111102.

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 = 2011113212193 and 2011113212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011113212221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60320955 + ... + 60354285.

Almost surely, 2^{2011113212220} is an apocalyptic number.

2011113212220 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 2011113212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548803442184).

2011113212220 is an abundant number, since it is smaller than the sum of its proper divisors (5086493672148).

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

2011113212220 is a wasteful number, since it uses less digits than its factorization.

2011113212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40201 (or 40189 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2011113212220 its reverse (222123111102), we get a palindrome (2233236323322).

The spelling of 2011113212220 in words is "two trillion, eleven billion, one hundred thirteen million, two hundred twelve thousand, two hundred twenty".