13312412467200 has 2880 divisors, whose sum is σ = 62050485181440. Its totient is φ = 2751882854400.

The previous prime is 13312412467183. The next prime is 13312412467201. The reversal of 13312412467200 is 276421421331.

13312412467200 is a `hidden beast` number, since 1 + 3 + 31 + 2 + 412 + 4 + 6 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312412467201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68976230304 + ... + 68976230496.

Almost surely, 2^{13312412467200} is an apocalyptic number.

13312412467200 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 13312412467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31025242590720).

13312412467200 is an abundant number, since it is smaller than the sum of its proper divisors (48738072714240).

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

13312412467200 is an frugal number, since it uses more digits than its factorization.

13312412467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 13312412467200 its reverse (276421421331), we get a palindrome (13588833888531).

The spelling of 13312412467200 in words is "thirteen trillion, three hundred twelve billion, four hundred twelve million, four hundred sixty-seven thousand, two hundred".