1322251120 has 80 divisors (see below), whose sum is σ = 3115648800. Its totient is φ = 521830400.

The previous prime is 1322251111. The next prime is 1322251127. The reversal of 1322251120 is 211522231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322251127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944656 + ... + 2945104.

It is an arithmetic number, because the mean of its divisors is an integer number (38945610).

Almost surely, 2^1322251120 is an apocalyptic number.

1322251120 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 1322251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557824400).

1322251120 is an abundant number, since it is smaller than the sum of its proper divisors (1793397680).

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

1322251120 is a wasteful number, since it uses less digits than its factorization.

1322251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1322251120 is about 36362.7710715231. The cubic root of 1322251120 is about 1097.5845400602.

Adding to 1322251120 its reverse (211522231), we get a palindrome (1533773351).

The spelling of 1322251120 in words is "one billion, three hundred twenty-two million, two hundred fifty-one thousand, one hundred twenty".