1322123264 has 144 divisors (see below), whose sum is σ = 3321876096. Its totient is φ = 511180800.

The previous prime is 1322123251. The next prime is 1322123273. The reversal of 1322123264 is 4623212231.

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, 10092479 + ... + 10092609.

It is an arithmetic number, because the mean of its divisors is an integer number (23068584).

Almost surely, 2^1322123264 is an apocalyptic number.

1322123264 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 1322123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660938048).

1322123264 is an abundant number, since it is smaller than the sum of its proper divisors (1999752832).

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

1322123264 is an frugal number, since it uses more digits than its factorization.

1322123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 151 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 1322123264 is about 36361.0129671878. The cubic root of 1322123264 is about 1097.5491616841.

Adding to 1322123264 its reverse (4623212231), we get a palindrome (5945335495).

The spelling of 1322123264 in words is "one billion, three hundred twenty-two million, one hundred twenty-three thousand, two hundred sixty-four".