1221441120 has 240 divisors, whose sum is σ = 4368893760. Its totient is φ = 321325056.

The previous prime is 1221441107. The next prime is 1221441121. The reversal of 1221441120 is 211441221.

1221441120 is a `hidden beast` number, since 1 + 221 + 441 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1221441093 and 1221441102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221441121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1023244 + ... + 1024436.

It is an arithmetic number, because the mean of its divisors is an integer number (18203724).

Almost surely, 2^1221441120 is an apocalyptic number.

1221441120 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 1221441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184446880).

1221441120 is an abundant number, since it is smaller than the sum of its proper divisors (3147452640).

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

1221441120 is a wasteful number, since it uses less digits than its factorization.

1221441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1221441120 is about 34949.1218773806. The cubic root of 1221441120 is about 1068.9502967163.

Adding to 1221441120 its reverse (211441221), we get a palindrome (1432882341).

The spelling of 1221441120 in words is "one billion, two hundred twenty-one million, four hundred forty-one thousand, one hundred twenty".