13225105045200 has 240 divisors, whose sum is σ = 45616727396160. Its totient is φ = 3262983413760.

The previous prime is 13225105045177. The next prime is 13225105045237. The reversal of 13225105045200 is 254050152231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 4290379 + ... + 6697578.

It is an arithmetic number, because the mean of its divisors is an integer number (190069697484).

Almost surely, 2^{13225105045200} is an apocalyptic number.

13225105045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13225105045200 is an abundant number, since it is smaller than the sum of its proper divisors (32391622350960).

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

13225105045200 is a wasteful number, since it uses less digits than its factorization.

13225105045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988054 (or 10988043 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 13225105045200 its reverse (254050152231), we get a palindrome (13479155197431).

The spelling of 13225105045200 in words is "thirteen trillion, two hundred twenty-five billion, one hundred five million, forty-five thousand, two hundred".