1322413224 has 128 divisors (see below), whose sum is σ = 3927744000. Its totient is φ = 366508800.

The previous prime is 1322413219. The next prime is 1322413231. The reversal of 1322413224 is 4223142231.

It is a happy number.

It is a Cunningham number, because it is equal to 36365²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1322413194 and 1322413203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140919 + ... + 150009.

It is an arithmetic number, because the mean of its divisors is an integer number (30685500).

Almost surely, 2^1322413224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963872000).

1322413224 is an abundant number, since it is smaller than the sum of its proper divisors (2605330776).

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

1322413224 is a wasteful number, since it uses less digits than its factorization.

1322413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159 (or 9155 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1322413224 is about 36364.9999862505. Note that the first 4 decimals coincide. The cubic root of 1322413224 is about 1097.6293917457.

Adding to 1322413224 its reverse (4223142231), we get a palindrome (5545555455).

The spelling of 1322413224 in words is "one billion, three hundred twenty-two million, four hundred thirteen thousand, two hundred twenty-four".