1233221120 has 80 divisors (see below), whose sum is σ = 2997799200. Its totient is φ = 486457344.

The previous prime is 1233221111. The next prime is 1233221131. The reversal of 1233221120 is 211223321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183581 + ... + 190179.

It is an arithmetic number, because the mean of its divisors is an integer number (37472490).

Almost surely, 2^1233221120 is an apocalyptic number.

1233221120 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 1233221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498899600).

1233221120 is an abundant number, since it is smaller than the sum of its proper divisors (1764578080).

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

1233221120 is an frugal number, since it uses more digits than its factorization.

1233221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1233221120 is about 35117.2481837629. The cubic root of 1233221120 is about 1072.3757500644.

Adding to 1233221120 its reverse (211223321), we get a palindrome (1444444441).

The spelling of 1233221120 in words is "one billion, two hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty".