1221241120 has 96 divisors (see below), whose sum is σ = 3284426880. Its totient is φ = 424765440.

The previous prime is 1221241117. The next prime is 1221241139. The reversal of 1221241120 is 211421221.

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 = 1221241094 and 1221241103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25396 + ... + 55564.

It is an arithmetic number, because the mean of its divisors is an integer number (34212780).

Almost surely, 2^1221241120 is an apocalyptic number.

1221241120 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 1221241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642213440).

1221241120 is an abundant number, since it is smaller than the sum of its proper divisors (2063185760).

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

1221241120 is a wasteful number, since it uses less digits than its factorization.

1221241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30218 (or 30210 counting only the distinct ones).

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

The square root of 1221241120 is about 34946.2604580233. The cubic root of 1221241120 is about 1068.8919498653.

Adding to 1221241120 its reverse (211421221), we get a palindrome (1432662341).

The spelling of 1221241120 in words is "one billion, two hundred twenty-one million, two hundred forty-one thousand, one hundred twenty".