1011221120 has 256 divisors, whose sum is σ = 3022790400. Its totient is φ = 314966016.

The previous prime is 1011221111. The next prime is 1011221129. The reversal of 1011221120 is 211221101.

It is an interprime number because it is at equal distance from previous prime (1011221111) and next prime (1011221129).

It is not an unprimeable number, because it can be changed into a prime (1011221129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5649191 + ... + 5649369.

It is an arithmetic number, because the mean of its divisors is an integer number (11807775).

Almost surely, 2^1011221120 is an apocalyptic number.

1011221120 is a gapful number since it is divisible by the number (10) 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 1011221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511395200).

1011221120 is an abundant number, since it is smaller than the sum of its proper divisors (2011569280).

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

1011221120 is a wasteful number, since it uses less digits than its factorization.

1011221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1011221120 is about 31799.7031432685. The cubic root of 1011221120 is about 1003.7264695090.

Adding to 1011221120 its reverse (211221101), we get a palindrome (1222442221).

It can be divided in two parts, 101 and 1221120, that added together give a palindrome (1221221).

The spelling of 1011221120 in words is "one billion, eleven million, two hundred twenty-one thousand, one hundred twenty".