1323120134400 has 432 divisors, whose sum is σ = 4410870436224. Its totient is φ = 349268541440.

The previous prime is 1323120134389. The next prime is 1323120134407. The reversal of 1323120134400 is 44310213231.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1323120134407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780780429 + ... + 1780781171.

It is an arithmetic number, because the mean of its divisors is an integer number (10210348232).

Almost surely, 2^{1323120134400} is an apocalyptic number.

1323120134400 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 1323120134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205435218112).

1323120134400 is an abundant number, since it is smaller than the sum of its proper divisors (3087750301824).

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

1323120134400 is a wasteful number, since it uses less digits than its factorization.

1323120134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1323120134400 its reverse (44310213231), we get a palindrome (1367430347631).

The spelling of 1323120134400 in words is "one trillion, three hundred twenty-three billion, one hundred twenty million, one hundred thirty-four thousand, four hundred".