12313504110400 has 84 divisors (see below), whose sum is σ = 32081205302028. Its totient is φ = 4635672125440.

The previous prime is 12313504110353. The next prime is 12313504110409. The reversal of 12313504110400 is 401140531321.

It can be written as a sum of positive squares in 6 ways, for example, as 463771896064 + 11849732214336 = 681008^2 + 3442344^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313504110409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226323979 + ... + 226378378.

Almost surely, 2^{12313504110400} is an apocalyptic number.

12313504110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313504110400 is an abundant number, since it is smaller than the sum of its proper divisors (19767701191628).

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

12313504110400 is a wasteful number, since it uses less digits than its factorization.

12313504110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452702396 (or 452702381 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 12313504110400 its reverse (401140531321), we get a palindrome (12714644641721).

The spelling of 12313504110400 in words is "twelve trillion, three hundred thirteen billion, five hundred four million, one hundred ten thousand, four hundred".