1101221120 has 72 divisors (see below), whose sum is σ = 2653549416. Its totient is φ = 437854208.

The previous prime is 1101221113. The next prime is 1101221123. The reversal of 1101221120 is 211221011.

It can be written as a sum of positive squares in 4 ways, for example, as 389825536 + 711395584 = 19744^2 + 26672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101221123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218954 + ... + 223926.

It is an arithmetic number, because the mean of its divisors is an integer number (36854853).

Almost surely, 2^1101221120 is an apocalyptic number.

1101221120 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 1101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326774708).

1101221120 is an abundant number, since it is smaller than the sum of its proper divisors (1552328296).

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

1101221120 is an equidigital number, since it uses as much as digits as its factorization.

1101221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5153 counting only the distinct ones).

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

The square root of 1101221120 is about 33184.6518740215. The cubic root of 1101221120 is about 1032.6619553767.

Adding to 1101221120 its reverse (211221011), we get a palindrome (1312442131).

The spelling of 1101221120 in words is "one billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".