12315200135440 has 20 divisors (see below), whose sum is σ = 28632840315084. Its totient is φ = 4926080054144.

The previous prime is 12315200135393. The next prime is 12315200135449. The reversal of 12315200135440 is 4453100251321.

It can be written as a sum of positive squares in 2 ways, for example, as 2950204723456 + 9364995411984 = 1717616^2 + 3060228^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (12315200135449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76970000767 + ... + 76970000926.

Almost surely, 2^{12315200135440} is an apocalyptic number.

12315200135440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12315200135440 is an abundant number, since it is smaller than the sum of its proper divisors (16317640179644).

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

12315200135440 is a wasteful number, since it uses less digits than its factorization.

12315200135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153940001706 (or 153940001700 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 12315200135440 its reverse (4453100251321), we get a palindrome (16768300386761).

The spelling of 12315200135440 in words is "twelve trillion, three hundred fifteen billion, two hundred million, one hundred thirty-five thousand, four hundred forty".