1021441120 has 96 divisors (see below), whose sum is σ = 2763948096. Its totient is φ = 349440000.

The previous prime is 1021441111. The next prime is 1021441139. The reversal of 1021441120 is 211441201.

It is a happy number.

1021441120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1021441094 and 1021441103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784470 + ... + 785770.

It is an arithmetic number, because the mean of its divisors is an integer number (28791126).

Almost surely, 2^1021441120 is an apocalyptic number.

1021441120 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 1021441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381974048).

1021441120 is an abundant number, since it is smaller than the sum of its proper divisors (1742506976).

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

1021441120 is a wasteful number, since it uses less digits than its factorization.

1021441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1021441120 is about 31959.9924906124. The cubic root of 1021441120 is about 1007.0965597100.

Adding to 1021441120 its reverse (211441201), we get a palindrome (1232882321).

The spelling of 1021441120 in words is "one billion, twenty-one million, four hundred forty-one thousand, one hundred twenty".