1323224022240 has 960 divisors, whose sum is σ = 5066358010560. Its totient is φ = 324490199040.

The previous prime is 1323224022233. The next prime is 1323224022319. The reversal of 1323224022240 is 422204223231.

1323224022240 is a `hidden beast` number, since 1 + 3 + 2 + 32 + 2 + 402 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 662604922 + ... + 662606918.

It is an arithmetic number, because the mean of its divisors is an integer number (5277456261).

Almost surely, 2^{1323224022240} is an apocalyptic number.

1323224022240 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 1323224022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533179005280).

1323224022240 is an abundant number, since it is smaller than the sum of its proper divisors (3743133988320).

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

1323224022240 is a wasteful number, since it uses less digits than its factorization.

1323224022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1323224022240 its reverse (422204223231), we get a palindrome (1745428245471).

The spelling of 1323224022240 in words is "one trillion, three hundred twenty-three billion, two hundred twenty-four million, twenty-two thousand, two hundred forty".