13122412403200 has 60 divisors (see below), whose sum is σ = 32511801949110. Its totient is φ = 5248964956160.

The previous prime is 13122412403189. The next prime is 13122412403263. The reversal of 13122412403200 is 230421422131.

It can be written as a sum of positive squares in 3 ways, for example, as 11653429618944 + 1468982784256 = 3413712^2 + 1212016^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 512581435 + ... + 512607034.

Almost surely, 2^{13122412403200} is an apocalyptic number.

13122412403200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122412403200 is an abundant number, since it is smaller than the sum of its proper divisors (19389389545910).

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

13122412403200 is an equidigital number, since it uses as much as digits as its factorization.

13122412403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025188497 (or 1025188476 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13122412403200 its reverse (230421422131), we get a palindrome (13352833825331).

The spelling of 13122412403200 in words is "thirteen trillion, one hundred twenty-two billion, four hundred twelve million, four hundred three thousand, two hundred".