13122004322400 has 288 divisors, whose sum is σ = 45231015029760. Its totient is φ = 3292898795520.

The previous prime is 13122004322363. The next prime is 13122004322407. The reversal of 13122004322400 is 422340022131.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122004322407) 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 47 ways as a sum of consecutive naturals, for example, 355716757 + ... + 355753643.

It is an arithmetic number, because the mean of its divisors is an integer number (157052135520).

Almost surely, 2^{13122004322400} is an apocalyptic number.

13122004322400 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 13122004322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22615507514880).

13122004322400 is an abundant number, since it is smaller than the sum of its proper divisors (32109010707360).

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

13122004322400 is a wasteful number, since it uses less digits than its factorization.

13122004322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45646 (or 45633 counting only the distinct ones).

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

Adding to 13122004322400 its reverse (422340022131), we get a palindrome (13544344344531).

The spelling of 13122004322400 in words is "thirteen trillion, one hundred twenty-two billion, four million, three hundred twenty-two thousand, four hundred".