1021221120 has 144 divisors (see below), whose sum is σ = 3433429440. Its totient is φ = 257974272.

The previous prime is 1021221077. The next prime is 1021221133. The reversal of 1021221120 is 211221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1021221096 and 1021221105.

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, 65962 + ... + 79958.

It is an arithmetic number, because the mean of its divisors is an integer number (23843260).

Almost surely, 2^1021221120 is an apocalyptic number.

1021221120 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 1021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716714720).

1021221120 is an abundant number, since it is smaller than the sum of its proper divisors (2412208320).

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

1021221120 is a wasteful number, since it uses less digits than its factorization.

1021221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14040 (or 14026 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1021221120 is about 31956.5505022053. The cubic root of 1021221120 is about 1007.0242510383.

Adding to 1021221120 its reverse (211221201), we get a palindrome (1232442321).

The spelling of 1021221120 in words is "one billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".