1221024 has 96 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 329472.

The previous prime is 1221019. The next prime is 1221029. The reversal of 1221024 is 4201221.

It is a Cunningham number, because it is equal to 1105²-1.

It is an interprime number because it is at equal distance from previous prime (1221019) and next prime (1221029).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1221029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15417 + ... + 15495.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2^1221024 is an apocalyptic number.

1221024 is a gapful number since it is divisible by the number (14) 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 1221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1221024 is an abundant number, since it is smaller than the sum of its proper divisors (2649696).

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

1221024 is a wasteful number, since it uses less digits than its factorization.

1221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1221024 is about 1104.9995475112. Note that the first 3 decimals coincide. The cubic root of 1221024 is about 106.8828601312.

Adding to 1221024 its reverse (4201221), we get a palindrome (5422245).

The spelling of 1221024 in words is "one million, two hundred twenty-one thousand, twenty-four".