2011221211120 has 40 divisors (see below), whose sum is σ = 5101188346800. Its totient is φ = 731353167360.

The previous prime is 2011221211099. The next prime is 2011221211141. The reversal of 2011221211120 is 211121221102.

It is an interprime number because it is at equal distance from previous prime (2011221211099) and next prime (2011221211141).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2011221211120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2011221211094 and 2011221211103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1142738445 + ... + 1142740204.

It is an arithmetic number, because the mean of its divisors is an integer number (127529708670).

Almost surely, 2^{2011221211120} is an apocalyptic number.

2011221211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011221211120 is an abundant number, since it is smaller than the sum of its proper divisors (3089967135680).

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

2011221211120 is a wasteful number, since it uses less digits than its factorization.

2011221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285478673 (or 2285478667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2011221211120 its reverse (211121221102), we get a palindrome (2222342432222).

The spelling of 2011221211120 in words is "two trillion, eleven billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".